Question

Find the missing length.

Pythagorean Theorem:


`{a}^(2) + {b}^(2) = {c}^(2)`​

Answer 1

`\huge \boxed{c = 4 √(2) }`

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

c² = a² + b²

where

c is the hypotenuse

So from the question we have

`{c}^(2) = {4}^(2) + {4}^(2) \\ c = √(16 + 16) \\ c = √(32) \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 √(2) \: \: \: \: \: \: \: \:`

Hope this helps you