Question

Question 9

11 pts
The legs of a right triangle measure 89 centimeters and 38 centimeters.
How long is the hypotenuse in centimeters? Round to the nearest
hundredth if necessary.

Answer 1

The answer is 96.8 cm

Explanation:

Since we have the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse

That's

`{h}^(2) = {a}^(2) + {b}^(2)`

where

h is the hypotenuse

From the question

The legs of the right angled triangle are 89cm and 38 cm

So the hypotenuse is

`{h}^(2) = {89}^(2) + {38}^(2) \\ {h}^(2) = 7921 + 1444 \\ h = √(9365)`

h = 96.7729

We have the final answer as

96.8 cm to the nearest tenth

Hope this helps you