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Area = 0.5*a*b*sin(C)

so

112.5 = 0.5*15*15*sin(c)

1 = sin(C)

so C = pi/2 radians (or 90 degrees).

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Q: What is the vertex angle of an isosceles triangle whose equal sides are 15 meters long if the area is 112.5 square meters?
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