ABDE is a rectangle with an area of 612 square units. If you were given the lengths of sides AB, AC, and DC, what steps would you need to take to determine whether ΔBCD is a right triangle?
An image displaying a rectangle ABDE. On the line AE there is a point C is connected to point B and point D, forming three right triangles, BCD, BAC, and CED. The largest triangle is BCD, followed by BAC and then CED.
Find BC by
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Find BD by
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Use the converse of the Pythagorean theorem to determine whether ΔBCD is a right triangle. Add the square of side BC to the square of side
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to see whether it equals the square of side
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.