In a 30 -60 -90 triangle, the shortest leg measures 13in. What is the measure of the longer leg

Question

A) 13 in

B) 13√2 in

C) 13√3 in

D) 26 in

Answer 1

D) 26in

shortest side 13, longest side 26, middle length side 13sqrt3

Answer 2

The formula for rt triangles is a^2+b^2=c^2.

In your case "a"=13.

Another set is a/(sinα)=b/(sinβ)=c.

Since this is a rt tri. "a" is the shortest side.

"b" mid .

"c" Hypotenuse.

You want side "c".

So: 13/.5=26="c"