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.

Respuesta :

Answer:

The answer is 96.8 cm

Step-by-step explanation:

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

That's

[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]

where

h is the hypotenuse

From the question

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

So the hypotenuse is

[tex] {h}^{2} = {89}^{2} + {38}^{2} \\ {h}^{2} = 7921 + 1444 \\ h = \sqrt{9365} [/tex]

h = 96.7729

We have the final answer as

96.8 cm to the nearest tenth

Hope this helps you