Question

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

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

Answer:

$\boxed{B. Hypotenuse = 10}$

Step-by-step 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

${Hypotenuse}^{2} = {(5 \sqrt{2} )}^{2} \times {(5 \sqrt{2} )}^{2} \\ \\ {Hypotenuse}^{2} = (25 \times 2) + (25 \times 2)\\ \\ {Hypotenuse}^{2} = 50 + 50\\ \\ {Hypotenuse}^{2} = 100\\ \\ {Hypotenuse}^{ \cancel{2}} = {10}^{ \cancel{2}} \\ \\ Hypotenuse = 10$