Question

question 3 of 10 what is the length of each leg of the triangle below? 45° 26 90° 45° a. 1 b. 13√2 c. 18 d. 13 e. √26 f. √13

Explanation:

Step1: Identify the triangle type

It's a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 right - triangle, if the length of the hypotenuse is $c$ and the length of each leg is $a$, the relationship is $c = a\sqrt{2}$.

Step2: Solve for the leg length

Given $c = 26$, we have $26=a\sqrt{2}$. Solving for $a$, we get $a=\frac{26}{\sqrt{2}}$. Rationalize the denominator: $a=\frac{26\sqrt{2}}{2}=13\sqrt{2}$.

Answer:

B. $13\sqrt{2}$