Question

What is the length of the hypotenuse of the triangle below?

Answer 1

10

Explanation:

Answer 2

`\boxed{B. Hypotenuse = 10}`

Explanation:

By applying Pythagoras theorem we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 5√2 cm

Side of right angle triangle (b) = 5√2 cm

Hypotenuse² = a² × b²

`{Hypotenuse}^(2) = {(5 √(2) )}^(2) * {(5 √(2) )}^(2) \\ \\ {Hypotenuse}^(2) = (25 * 2) + (25 * 2)\\ \\ {Hypotenuse}^(2) = 50 + 50\\ \\ {Hypotenuse}^(2) = 100\\ \\ {Hypotenuse}^{ \cancel{2}} = {10}^{ \cancel{2}} \\ \\ Hypotenuse = 10`