Question

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

Answer 1

Answer:

The answer is 13.86

Step-by-step 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

${16}^{2} = {x}^{2} + {8}^{2} \\ {x}^{2} = {16}^{2} - {8}^{2} \\ {x}^{2} = 256 - 64 \\ {x}^{2} = 192 \\ x = \sqrt{192} \\ x = 8 \sqrt{3} \\ x = 13.8564...$

We have the final answer as

13.86 to the nearest hundredth

Hope this helps you