Question

An isosceles triangle has an area of 24 cm^2, and the angle between the two equal sides is 5π/6. What is the length of the two equal sides? (Round your answer to one decimal place.)

Answer 1

9.79

Answer 2

is that right ans.

Answer 3

use the trig ratio for area of a triangle... and call the equal sides a



then you say

\[24 = \frac{1}{2} \times a \times a \times \sin(\frac{5\pi}{6})\]

so simplifying things a little

\[48 = a^2 \times \sin(\frac{5\pi}{6})\]

now just solve for a, and only use the positive value.