The Pythagorean theorem test, 8 grade

Question Nr. 1 out of 10

A destination can be reached by walking 6 m east and 8 m north, or directly. Which route is shorter?

The two routes are equal

The route along the sides is shorter

The direct route is shorter

There is not enough information

Question Nr. 2 out of 10

Which set of three side lengths can form a right triangle?

4, 4 and 5

3, 4 and 5

3, 4 and 6

3, 5 and 5

Question Nr. 3 out of 10

The legs of a right triangle are 9 cm and 12 cm. Find the hypotenuse.

32 cm

33 cm

27 cm

15 cm

16 cm

Question Nr. 4 out of 10

A rectangle has sides 28 cm and 96 cm. Find its diagonal.

90 cm

79 cm

100 cm

16 cm

70 cm

Question Nr. 5 out of 10

Find the distance between (-6, -1) and (22, 95).

100

27

98

29

24

Question Nr. 6 out of 10

If a triangle satisfies a² + b² = c², what follows from the converse Pythagorean theorem?

The triangle cannot exist

The triangle is equilateral

The triangle is right-angled

All its angles are acute

Question Nr. 7 out of 10

Find the distance between (-3, -2) and (17, 46).

26

52

31

55

67

Question Nr. 8 out of 10

A right triangle has hypotenuse 10 cm and one leg 8 cm. Find the other leg.

8 cm

11 cm

4 cm

6 cm

18 cm

Question Nr. 9 out of 10

If a triangle satisfies a² + b² = c², what follows from the converse Pythagorean theorem?

All its angles are acute

The triangle cannot exist

The triangle is equilateral

The triangle is right-angled

Question Nr. 10 out of 10

The foot of a ladder is 3 m from a wall and its top reaches 4 m high. How long is the ladder?

11 m

18 m

4 m

5 m

3 m

Test: The Pythagorean theorem