Pythagoras' Theorem
This is a quiz to determine your ability to use and apply Pythagoras' theorem in a variety of contexts.
- 1.
PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c2 Where c is the longest side of the triangle called the _________________.
- A.
Hypertenuse
- B.
Hypochondriac
- C.
Hyperactive
- D.
Hypotenuse
Correct Answer
D. Hypotenuse -
- 2.
Using the Pythagorean Theorem, figure out the missing values for x and h:
- A.
H is 3 and x is 3.6
- B.
H is 3 and x is 2.23
- C.
H is 6.4 and x is 6.1
Correct Answer
B. H is 3 and x is 2.23 -
- 3.
How much farther is it to jog around the perimeter of the field to get from X to Y rather than jogging a straight line across the field from X to Y?
- A.
33.5m
- B.
46.9m
- C.
113.1m
- D.
126.5m
Correct Answer
A. 33.5m -
- 4.
A pole is to be placed in a box with dimensions 20cm × 15 cm × 10 cm. a) What is the length of the longest pole that could be laid flat in the box? b) What is the length of the longest pole that could fit in the box if it does not have to be laid flat?
- A.
Part a) 13cm and part b) 22cm
- B.
Part a) 25 cm and part b) 22cm
- C.
Part a) 13cm and part b) 16cm
- D.
Part a) 25cm and part b) 27cm
Correct Answer
D. Part a) 25cm and part b) 27cm -
- 5.
Use the Pythagorean relationship to see if the triangle with these sides is a right angled triangle.
- A.
Neither are right angled triangles
- B.
A is right angled triangle, b is not
- C.
A is not a right angled triangle, but b is
- D.
Both are right angled
Correct Answer
B. A is right angled triangle, b is not -
- 6.
Pythagorean triples are three numbers that satisfy the Pythagorean relationship. For example 3,4,5 is a Pythagorean triple because 3² + 4² = 5². Which of the following is not a Pythagorean triples?
- A.
6, 8, 10
- B.
5, 12, 13
- C.
7, 24, 25
- D.
65, 72, 96
Correct Answer
D. 65, 72, 96 -
- 7.
A 9m post is positioned so that it meets the ground at right angles. A wire is strung from the top of the post to a peg on the ground 7m from the base of the post. How long, to the nearest cm, must the wire be?
- A.
11.40m
- B.
11.401m
- C.
5.65m
- D.
5.657m
Correct Answer
A. 11.40m -
- 8.
A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach?
- A.
4.12m
- B.
15m
- C.
3.87m
- D.
3m
Correct Answer
C. 3.87m -
- 9.
Sally travels to work each day. She travels 12 km East from home to Main Road. Sally then travels 9 km North on the Main Road to work. If the council was to put a direct road from Sally’s house to work, how much shorter would her journey be?
- A.
6 km
- B.
7.94 km
- C.
11.06 km
- D.
15 km
Correct Answer
A. 6 km -
- 10.
To find the length of a lake, a surveyor places flags at A and B, so that A and B are at opposite ends of a lake. She then walks to a point C such that angle ABC is 90°. She measures the distance from A to C and finds it to be 112m, and the distance from B to C to be 91m. Find the length of the lake correct to the nearest metre.
- A.
21 m
- B.
65 m
- C.
144 m
- D.
203 m
Correct Answer
B. 65 m -
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Current Version
-
Mar 21, 2022Quiz Edited by
ProProfs Editorial Team -
Mar 14, 2009Quiz Created by
Scorner
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