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Grades 6, 7 and 8 - Math - Middle School - Shapes - Pythagoras
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Pythagoras Theorem is about a property of all triangles with a right-angle. If a triangle has one angle which is a right-angle (i.e. 90o) then there is a special relationship between the lengths of its three sides. This theorum is named after the Greek mathematician, Pythagoras. 

Grades 6, 7 and 8 - Math - Middle School - Shapes - Pythagoras
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20 Questions

1. What is the length of the hypotenuse (A) in the triangle below?
2. The hypotenuse of a right triangle is 26 cm. One of the shorter sides is 10 cm. How long is the third side?
3. In a right triangle the sides forming the 90° angle are 6 cm and 8 cm. What is the length of the third side?
4. What is the length of the side (A) in the triangle below?
5. A triangle has sides of length 4 cm, 5 cm and 6 cm. Which of these statements is not true?
6. What is the length of the side (A) in the triangle below?
7. What is the length of the hypotenuse (A) in the triangle below?
8. What is the length of the hypotenuse (A) in the triangle below?
9. A rectangle has length 2.4 m and width 0.7 m. How long is its diagonal?
10. The hypotenuse of a right triangle is 26 cm. One of the shorter sides is 10 cm. How long is the third side?
11. The following sets of numbers represent the lengths of the sides of a triangle. Which is not a right triangle?
12. What is the length of the hypotenuse (A) in the triangle below?
13. What is the length of the hypotenuse (A) in the triangle below?
14. A right-angled isosceles triangle has hypotenuse of length 15 cm. What are the angles at either end of the hypotenuse?
15. What is the diagonal of the rectangular swimming pool in the picture below?
16. In a triangle, base 25 cm and height 12 cm, the perpendicular from the base to the opposite vertex divides the base in the ratio 3:2. How long are the other two sides (to 1dp)?
17. What is the length of the hypotenuse (A) in the triangle below?
18. The diagram below shows a ladder leaning against a vertical house wall. How far up the wall does the ladder reach?
19. What is the length of the hypotenuse (A) in the triangle below?
20. The foot of a ladder of length 3.75 m is 1.4 m away from a vertical wall. How high up the wall will the ladder reach (to the nearest 1 cm)?

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