# Worksheet: The Pythagorean Theorem

In this worksheet, we will practice using the Pythagorean theorem to find the length of the hypotenuse or a leg of a right triangle and its area.

**Q8: **

Find in the right triangle shown.

**Q9: **

is a right triangle at , where and . Find the length of .

**Q13: **

Determine the area of .

**Q14: **

Find in the right triangle shown.

**Q16: **

Find in the right triangle shown.

**Q17: **

Find in the right triangle shown.

**Q18: **

Find in the right triangle shown.

**Q19: **

Find in the right triangle shown.

**Q21: **

In a right-angled triangle, which of the following is equal to the area of the square that has the hypotenuse as a side?

- AThe sum of the areas of the squares drawn on the other two sides.
- BThe sum of the perimeters of the squares drawn on the other two sides.
- CThe area of the square drawn on one of the other two sides.

**Q22: **

Find in the right triangle shown.

**Q24: **

Find in the right triangle shown.

**Q25: **

Find the length of the hypotenuse of a right triangle whose leg lengths are 1.

- A
- B3
- C
- D2
- E1