Question

Find the exact length of the third side.
8
6

Answer 1

10

Explanation:

The triangle in the pic is a right-angled triangle. And in right-angled triangles , Pythagorean Theorem. So , according to Pythagorean Theorem

`Base^(2) +Perpendicular^(2) =Hypotenuse^(2)` where 'c' is the hypotenuse and 'a' & 'b' are the other two sides.

Using Pythagorean Theorem ,

`Hypotenuse^(2) = 8^(2) +6^(2) =64+36=100\\=>Hypotenuse = √(100) =10`