Question

An isosceles triangle has an area of 31 cm2, and the angle between the two equal sides is 5π/6. Find the length of the two equal sides. (Round your answer to one decimal place.)

Answer 1

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.