Question

Find the area of triangle BCD, in square centimeters.

Answer 1

Answer: 442 square cm

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Explanation:

Use the area of a trapezoid formula, along with the given area, to solve for the height of the trapezoid (h)

A = h*(b1+b2)/2

741 = h*(23+34)/2

741 = h*28.5

741/28.5 = h

26 = h

h = 26

The height of the trapezoid is 26 cm

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Now we can find the area of triangle BCD. Its height is also 26 cm.

area of triangle = (1/2)*base*height

area of triangle BCD = (1/2)*BC*h

area of triangle BCD = (1/2)*34*26

area of triangle BCD = 442