Ask an Expert
Question

# Given a right triangle. Cathetuses are 24cm and 7cm long. Find the length of the hypothenuse

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-04
Given a right triangle. Cathetuses are 24cm and 7cm long. Find the length of the hypothenuse.

## Expert Answers (1)

2021-09-05

Use the Pythagorean theorem:
$$\displaystyle{c}^{{2}}={a}^{{2}}+{b}^{{2}}$$
Where c is the hypothenuse's length and a&b are the cathetuses' length. Substitute from the given:
$$\displaystyle{c}^{{2}}={24}^{{2}}+{7}^{{2}}$$
$$\displaystyle{c}^{{2}}={49}+{576}$$
$$\displaystyle{c}=\sqrt{{625}}$$
$$c=25$$
The hypothenuse is 25 cm long.

expert advice

...