Question

A 30°-60°-90° triangle has a hypotenuse with a length of 10. What is the length of the longer leg of the triangle?

Answer 1

10/2 = 5

shortest leg of a 306090 triangle is always half the hypotenuse

also cos(30)=x/10
so 10cos(30) = x
cos (30) = 1/2
so 10 *1/2 = 5

sin(30) = square root of 3 (read: root 3 or 3 ^.5) over two
so if you want the other leg (the longer short one) then you do

10(3^.5)/2 or 5(3^.5)


are you in CAVA?

Answer 2

Thank you! And no, i'm not in CAVA.

Answer 3

You're Welcome :)
Oh, I had the same question a while ago and thanks for the medal :D