Question

question 5 of 10 what is the length of the hypotenuse of the triangle below? a. 1 b. 5 c. 25\sqrt{2} d. 10\sqrt{2} e. 5\sqrt{2} f. 10

Explanation:

Step1: Identify triangle type

It's a 45-45-90 right triangle (two 45° angles, one 90°).

Step2: Recall 45-45-90 ratio

Legs equal; hypotenuse = leg × √2.

Step3: Apply leg length

Leg = \(5\sqrt{2}\), so hypotenuse \(h = 5\sqrt{2} \times \sqrt{2}\).

Step4: Simplify calculation

\(\sqrt{2} \times \sqrt{2} = 2\), so \(h = 5 \times 2 = 10\).

Answer:

F. 10