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The figure shows triangle ABC with

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The figure shows triangle ABC with

by Max@Math Revolution » Fri Apr 10, 2020 4:08 pm

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[GMAT math practice question]

The figure shows triangle ABC with ∠ADC = 90, AC = 13 and CD = 5. What is the area of ABC?
4.10.png
A. 76
B. 80
C. 84
D. 88
E. 92
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Re: The figure shows triangle ABC with

by Max@Math Revolution » Sun Apr 12, 2020 3:51 am
=>

Remember the Pythagorean triples of 3:4:5 and 5:12:13.
We have AD = 12 from 5:12:13.
And we have BD = 9 from 9:12:15 = 3:4:5.
Thus, the area of the triangle is (1/2)BC*AD = (1/2)(BD + DC)(AD) = (1/2)(14)(12) = 84.

Therefore, C is the answer.
Answer: C
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