Question

for the following right triangle,  find the side length x. round your answer to the nearest hundredth ​

Answer 1

The answer is 13.86

Explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

We have

`{16}^(2) = {x}^(2) + {8}^(2) \\ {x}^(2) = {16}^(2) - {8}^(2) \\ {x}^(2) = 256 - 64 \\ {x}^(2) = 192 \\ x = √(192) \\ x = 8 √(3) \\ x = 13.8564...`

We have the final answer as

13.86 to the nearest hundredth

Hope this helps you