A triangle has sides A, B, and C. If the angle between sides A and B is $(pi)/6$ , the angle between sides B and C is $(5pi)/12$ , and the length of B is 7, what is the area of the triangle?

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Answer 1 · 2018-06-18T01:49:10

$color(purple)("Area of " Delta, A_t = 12.25 " sq units"$

$hat A = (5pi) / 12, hat C = pi/6, hat B = pi - (5pi)/12 - pi/6 = (5pi) / 12$

It's an isosceles triangle with sides a & b equal.

Given $b = 7 " and hence " a " also " = 7$

$"Area of " Delta, A_t = (1/2) a b sic C$

$color(purple)(A_t = (1/2) 7^2 sin (pi/6) = 49/4 = 12.25 " sq units"$

A triangle has sides A, B, and C. If the angle between sides A and B is (pi)/6(pi)/6, the angle between sides B and C is (5pi)/12(5pi)/12, and the length of B is 7, what is the area of the triangle?