x = 5*sqrt(2), and y = 5*sqrt(2)

No matter what positive number x is, x*sqrt(3) is LARGER than 2x.

Depends on what positive number x is.

x = 5*sqrt(3), and y = 10*sqrt(3)

x = 7.5*sqrt(3), and y = 15*sqrt(3)

Maths Special Right Triangles Quiz 2

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| By Philip Benanti

Philip Benanti

Community Contributor

Quizzes Created: 18 | Total Attempts: 26,587

Questions: 5 | Attempts: 435 | Updated: Mar 21, 2023

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Maths Special Right Triangles Quiz 2 - Quiz

Let's start this quiz it will give you the different right triangles, Find out now how much do you know about it!

Questions and Answers

1.

If you know one side of a 45-45-90 triangle, then you can ALWAYS find the exact length of the other 2 sides.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
No matter WHAT the size of the 45-45-90 triangle, the sides are ALWAYS in the same ratio.

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2.

Find x and y.
- A.
  
  X = 5*sqrt(2), and y = 5*sqrt(2)
- B.
  
  X = 5*sqrt(3), and y = 5
- C.
  
  X = 5, and y = 5*sqrt(2)
- D.
  
  X = 5, and y = 5*sqrt(3)
Correct Answer
D. X = 5, and y = 5*sqrt(3)

Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

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3.

No matter what positive number x is, x*sqrt(3) is LARGER than 2x.
- A.
  
  True
- B.
  
  False
- C.
  
  Depends on what positive number x is.
Correct Answer
B. False

Explanation
sqrt(3) is roughly 1.732, so when you multiply a number by 1.732, that's LESS than multiplying that number by 2.

That's why "2x", the LARGER number, is across from the right angle, the LARGEST angle.

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4.

Find x and y.
- A.
  
  X=70*sqrt(2), and y=70
- B.
  
  X=140, and y=70*sqrt(3)
- C.
  
  X=70*sqrt(3), and y=140
Correct Answer
B. X=140, and y=70*sqrt(3)

Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

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5.

Find x and y.
- A.
  
  X = 15*sqrt(3), and y = 30
- B.
  
  X = 7.5*sqrt(3), and y = 15*sqrt(3)
- C.
  
  X = 5*sqrt(3), and y = 10*sqrt(3)
Correct Answer
C. X = 5*sqrt(3), and y = 10*sqrt(3)

Explanation
The ratio of the sides of a 30-60-90 triangle are x, x*sqrt(3), and 2x (listed in order of the side opposite the 30,60,90).

Rate this question:

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Mar 02, 2015

Quiz Created by
Philip Benanti

Maths Special Right Triangles Quiz 2

If you know one side of a 45-45-90 triangle, then you can ALWAYS find the exact length of the other 2 sides.

Find x and y.

No matter what positive number x is, x*sqrt(3) is LARGER than 2x.

Find x and y.

Find x and y.