In a 30-60-90 triangle, the shorter leg has length of 8√3 m. Find the length of the other leg (L) and the hypotenuse (H).

Question

parthkohli · Answer

The ratios in a 30-60-90 triangle are:


$\Large \color{MidnightBlue}{\Rightarrow x\sqrt3,x,2x }$

So far, we can say that x = 8

x =other leg= 8
2x = hypotenuse = 16

pfenn1 · Answer

The question says the shorter leg has the length 8√3 m. So x=8√3, the other leg would be x√3 =8√3√3 and the hypotenuse is 2x=2(8√3 m)

parthkohli · Answer

Oh oops

anonymous · Answer

Yall have me soo confused

parthkohli · Answer

pfenn1 is correct

anonymous · Answer

Thankyou For helping any how :)

pfenn1 · Answer

This website explains the special case of a 30-60-90 triangle. http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri30.htm This is a handy thing to know.

anonymous · Answer

ok  thankyou