In an isosceles triangle base angles are 30 degrees while the median to the leg is 7. What is the area?

Answer 1

base angles are 30 degrees

apex angle = 180-2(30) = 120 degrees

median to the leg = 7

sides are 14, 14 and 14sqr3

height of the triangle = 7

base = 14sqr3

Area = bh/2 = 7(14)sqr3/2 = 49sqr3

Area = 49sqr3 = about 49(1.732) = about 84.9

Area = about 85