Question

question 10 of 10 which set of values could be the side lengths of a 30 - 60 - 90 triangle? a. {4,4\sqrt{2},8} b. {4,4\sqrt{2},8\sqrt{2}} c. {4,4\sqrt{3},8} d. {4,4\sqrt{3},8\sqrt{3}}

Explanation:

Step1: Recall side - length ratio

In a 30 - 60 - 90 triangle, the ratio of side lengths is $1:\sqrt{3}:2$.

Step2: Check each option

If the shortest side is 4, the longer leg is $4\sqrt{3}$ and the hypotenuse is 8.

Answer:

C. $\{4,4\sqrt{3},8\}$