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MATH

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A TRIANGLE IS INSCRIBED IN A CIRCLE SUCH THAT ONE OF ITS SIDES IS A DIAMETER OF THE CIRCLE.IF THE RADIUS OF THE CIRCLE IS 30.5 CM AND ONE OF THE SIDES IS 60 CM, FIND THE AREA OF THE TRIANGLE?

  • MATH -

    A triangle on a diameter makes a right angle at the circle
    So let the third side be x
    x^2 + 60^2 = 61^2
    x = √121 = 11

    so the area = (1/2)(60)(11) = 330

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