Question

question 6 of 10 what is the length of leg s of the triangle below? a. 5.6 b. 5\sqrt{2} c. 2 d. 4 e. 1 f. 4.4

Explanation:

Step1: Identify triangle type

It's a 45 - 45 - 90 right - triangle.

Step2: Recall side - length ratio

In a 45 - 45 - 90 triangle, if the length of a leg is $a$ and the hypotenuse is $c$, then $c = a\sqrt{2}$.

Step3: Solve for the leg length

Given $c = 4\sqrt{2}$, and $c=a\sqrt{2}$, we have $a\sqrt{2}=4\sqrt{2}$. Dividing both sides by $\sqrt{2}$, we get $a = 4$.

Answer:

D. 4