Solving Triangles Quizzes, Questions & Answers

Sohcahtoa Method Quizzes

Trignometric Ratios & Pythagorean for Side Lengths (Mixed Practice)

Think you can juggle multiple methods? In this quiz, you’ll mix SOHCAHTOA with the Pythagorean Theorem to solve multi-step problems. You’ll move between ratios and squa...

Questions: 20 | Attempts: 20 | Last updated: Dec 11, 2025

Sample Question
In a right triangle, angle A = 30°. The side adjacent to A is 5. Find the hypotenuse.

5√2

10√3 / 3

10

5√3

Find Missing Sides with Sine, Cosine, & Tangent

Get ready to put trigonometry into action. In this quiz, you will use sine, cosine, and tangent to find unknown sides in right triangles. Each problem gives you one or more sides a...

Questions: 20 | Attempts: 15 | Last updated: Dec 11, 2025

Sample Question
In a right triangle, angle A = 30°. If the hypotenuse is 12, find the side opposite A.

4√3

6

6√3

10

SOHCAHTOA: Identify Ratios & Use Pythagoras in Right Triangles

Develop a solid understanding of the trigonometric ratios sine, cosine, and tangent using the SOHCAHTOA method. This quiz focuses on identifying sides relative to an angle, computi...

Questions: 20 | Attempts: 12 | Last updated: Dec 11, 2025

Sample Question
In a right triangle, the opposite side to angle θ is 9 and the hypotenuse is 15. What is sin θ?

4/5

3/5

9/12

5/3

All Sohcahtoa Method Quizzes

Law Of Sines Quizzes

Trigonometry With General Triangles Assessment Test

Take this assessment test to evaluate your knowledge of trigonometry with general triangles. What are sine, cosine, and tangent? How can we use them to solve for unknown sides and ...

Questions: 10 | Attempts: 256 | Last updated: Aug 07, 2025

Sample Question
What can be used to find all the missing angles of a triangle?

Graph

Protractor

Law of cosine

Compass

It's time to solve Trigonometry questions

Challenge your understanding of trigonometry with questions on rules and calculations involving angles and sides of triangles.

Questions: 7 | Attempts: 207 | Last updated: Mar 19, 2025

Sample Question
Which rule can you apply when you are given 2 sides and an included angle of a triangle?

Cosine

10th Grade Sine law (Nikoleta Simeonova)

For your "fill in the blanks" answers, please use the following pattern: _ cm, _ cm Example: 1 cm, 2 cm

Questions: 12 | Attempts: 126 | Last updated: Oct 12, 2025

Sample Question
Given a triangle ABC with side BC=25 cm, the altitude BD is 15 cm, the circumradius is 32,5 cm. Find the other sides, and .

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Law Of Cosines Quizzes

PreCalculus Pre-Test Quiz

How good you're at solving precalculus practice problems? Take up this 'PreCalculus Pre-Test Quiz' and check your knowledge about the precalculus concept. Precalculus i...

Questions: 25 | Attempts: 18888 | Last updated: Oct 07, 2025

Sample Question

A

B

C

D

10th Grade Sine and cosine laws - mixed (Nikoleta Simeonova)

For your "fill in the blanks" answers, please use the following pattern: _ cm, _ cm Example: 1 cm, 2 cm

Questions: 10 | Attempts: 160 | Last updated: Oct 12, 2025

Sample Question
Given a triangle ABC with sides 4 cm and 6 cm. The angles opposite them are in the ratio 1:2. Find the third side.

5 cm

10th Grade Cosine law (Nikoleta Simeonova)

For your "fill in the blanks" answers, please use the following pattern: _ cm, _ cm Example: 1 cm, 2 cm

Questions: 10 | Attempts: 148 | Last updated: May 22, 2025

Sample Question
Given ABCD - circumscribed quadrilateral. Two of the adjacent sides are 5 cm and 12 cm, they are also perpendicular to each other. Find the other sides if the angle between them is 60 degrees.

8 cm, 15 cm

15 cm, 8 cm

All Law Of Cosines Quizzes

Ambiguous Case Quizzes

Determining the Number of Possible Triangles (Ambiguous Case)

What happens when a triangle’s sides and angles don’t guarantee just one shape? In this quiz, you’ll explore the ambiguous case of the Law of Sines — where ...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
In △ABC, side a = 8, side b = 12, and angle A = 40°. How many triangles can be formed?

1

2

Infinitely many

Solving for Angles and Sides in the Ambiguous Case

Ready to solve triangles when more than one solution exists? In this quiz, you’ll apply the Law of Sines to find missing angles and sides in ambiguous situations. You’l...

Questions: 20 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
In △ABC, side a = 10, side b = 9, and angle A = 40°. Find possible angle B.

35.4° or 144.6°

46.3° or 133.7°

53.1° or 126.9°

57.0° or 123.0°

All Ambiguous Case Quizzes

Finding Sides Quizzes

Quiz 4.5.3 and 4.5.4 Version B

Quiz 4.5.3 and 4.5.4 Version B assesses the ability to find missing sides of triangles, enhancing geometric problem-solving skills crucial for academic success in Mathematics.

Questions: 10 | Attempts: 79 | Last updated: Oct 10, 2025

Sample Question
Find the missing side.

A

B

C

D

Opposite Side Sine Quiz: Find Opposite Side Using Sine

How does the sine function help you determine an unknown side in a right triangle? In this quiz, you’ll practice using sine to link angles with opposite sides, turning geomet...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Find the opposite side if sin(30°) = opposite/10.

5

6

7

1/8

Angle of Elevation Quiz: Angle of Elevation Application

How can trigonometry help you measure heights and distances you can’t reach directly? In this quiz, you’ll explore angle-of-elevation scenarios and learn how to transla...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
A building is 50 m away. The angle of elevation to the top is 30°. Find the height.

28.9 m

25 m

26.5 m

30 m

All Finding Sides Quizzes

Finding Angles Quizzes

Solving right angled triangles

This quiz titled 'Solving Right Angled Triangles' assesses learners on their ability to solve problems involving right triangles. It encompasses calculations of side lengths, angle...

Questions: 5 | Attempts: 911 | Last updated: Mar 21, 2025

Sample Question
In a right angle triangle ABC, AB = 6 cm, AC = 10 cm and angle ABC = 90 degrees. The length of side BC is

11.7 cm

16 cm

8 cm

10 cm

Exam: Skill #70- Missing angle of a triangle

This quiz, titled 'Exam: Skill #70- Missing Angle of a Triangle', assesses learners on calculating missing angles in various triangle configurations. It focuses on enhancin...

Questions: 5 | Attempts: 415 | Last updated: Sep 15, 2025

Sample Question
Find the missing angle measure.

26

26 degrees

Finding Angles with Trigonometric Ratios

Ready to connect triangles to real-world scenarios? In this quiz, you’ll use sine, cosine, and tangent to find unknown angles and sides in right triangles. You’ll explo...

Questions: 20 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
A right triangle has opposite = 9 and adjacent = 12. Find θ to the nearest degree.

36°

41°

48°

53°

All Finding Angles Quizzes

Area Of Triangle Quizzes

Area of Triangles

Take the assigned math quiz. This will be a good practice for your quiz in class.

Questions: 6 | Attempts: 5935 | Last updated: Apr 15, 2025

Sample Question
1. What does the letter b stand for in the formula A = bh

Area

Base

Height

Length

Area of Parallelogram and Triangle

In this geometrical quiz, we’ll be taking a look at some interesting little shapes in the parallelogram and the triangle, looking at their areas and how you can achieve them....

Questions: 15 | Attempts: 921 | Last updated: Apr 15, 2025

Sample Question
If a triangle and square are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the square is:

1:4

1:2

1:3

3:1

Area of Triangles and Combined Figures

When it comes to geometry, most of us are in dire need of some practice. Have you been having some trouble when it comes to finding the area of some figures be they single or combi...

Questions: 5 | Attempts: 437 | Last updated: Mar 21, 2025

Sample Question

40 sq. cm

20 sq. cm

48 sq. cm

24 sq. cm

All Area Of Triangle Quizzes

Heron Formula Quizzes

Real-World Area Problems Using Heron’s Formula

Ready to put the method to work on friendly triples and messy decimals alike? You’ll compute areas step by step, round sensibly, and cross-check special cases (like righ...

Questions: 20 | Attempts: 21 | Last updated: Dec 11, 2025

Sample Question
A triangular park has sides 3 m, 4 m, and 5 m. What is the park’s area?

6 m²

8 m²

9 m²

10 m²

Compute Triangle Areas with Heron's Formula

Build the foundation: verify side lengths form a triangle, compute the semiperimeter, and set up the product that leads to the area. You’ll decide when Heron’s Formula ...

Questions: 20 | Attempts: 17 | Last updated: Dec 12, 2025

Sample Question
Find the area of a triangle with sides 3, 4, and 5.

6

8

10

12

Heron’s Formula Basics: Semiperimeter, Validity & Setup

Are you ready to get a triangle’s area using only its three side lengths? This quiz walks you through Heron’s idea: first check the triangle inequality, then take half ...

Questions: 20 | Attempts: 13 | Last updated: Dec 11, 2025

Sample Question
What is the formula for the semiperimeter of a triangle with sides a, b, and c?

S = a + b + c

S = ½(a + b + c)

S = (a + b + c)/3

S = (a × b × c)½

All Heron Formula Quizzes

Solving Triangles Quizzes, Questions & Answers

Popular Solving Triangles Topics

Sohcahtoa Method Quizzes

Law Of Sines Quizzes

Law Of Cosines Quizzes

Ambiguous Case Quizzes

Finding Sides Quizzes

Finding Angles Quizzes

Area Of Triangle Quizzes

Heron Formula Quizzes

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