# Lesson Worksheet: The Pythagorean Theorem Mathematics

In this worksheet, we will practice using the pythagorean theorem to find a missing length in a right triangle and using the converse of the pythagorean theorem to determine whether a triangle is a right triangle.

**Q1: **

Find in the right triangle shown.

**Q2: **

Find in the right triangle shown.

**Q3: **

Determine the length of the longest side of a right triangle if the lengths of the two other sides are 6 cm and 8 cm.

**Q4: **

Given that the triangle is right-angled at , , and , find the length of .

**Q5: **

Find the perimeter of .

**Q6: **

Determine the diagonal length of the rectangle whose length is 48 cm, and width is 20 cm.

**Q7: **

Which of the relations below is correct?

- A
- B
- C
- D

**Q8: **

Find the length of in the trapezoid .

**Q9: **

is a right triangle at , where and . Find the length of giving the answer to three decimal places.

**Q10: **

In the figure, if , determine and to the nearest hundredth, if necessary.

- A,
- B,
- C,
- D,