A triangle has sides A, B, and C. If the angle between sides A and B is (pi)/4, the angle between sides B and C is (pi)/2, and the length of B is 10, what is the area of the triangle?

1 Answer
Alan P.
Apr 11, 2016

"Area"_(triangle"ABC") = 50 "sq.units"

Explanation:

From the given information we can deduce that the angle between A and C is pi/4
and therefore triangle"ABC" is an isosceles, right-angled triangle with abs(B) = abs(C)=10 and B_|_ C

Using B as the base and C as the height
color(white)("XXX")Area_triangle = 1/2*B*C = 1/2*10*10=50

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