Answer:
11.1 cm
Step-by-step explanation:
The area of a triangle can be found from the formula ...
A = (1/2)ab·sin(θ)
where "a" and "b" are side lengths, and θ is the angle between those sides.
We can fill in the numbers and solve for the side length. (Here, b=a.)
31 cm² = (1/2)(a)²sin(5π/6) . . . . . . sin(5π/6) = 1/2
124 cm² = a² . . . . . . . . multiply by 4
11.1355 cm ≈ a
The lengths of the equal sides are about 11.1 cm.
