Question

What is the length of the third side?

Answer 1

8

Explanation:

This is a right triangle.

Since it's a right triangle with given side lengths,

we can use Pythagoras theorem, a² + b² = c² (a and b legs, c is hypotenuse)

to calculate the missing side.

Let x represent the missing side:

`( {2 √(41) )}^(2) = {10}^(2) + {x}^(2)`

• Calculate the square values

`164 = 100 + {x}^(2)`

• Subtract 100 from both sides

`64 = {x}^(2)`

• Find the root of the both sides

`8 = x`