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The altitude of a right triangle is twice the base. If the area is 36 m2, what are the dimensions of this triangle?

Asked by Topperlearning User 25th November 2013, 1:03 AM
Answered by Expert
Answer:

Here, let us assume the base of the triangle be b.

Given that ,

Altitude (h) = 2 x base (b) = 2b

Also, area of the triangle = 36 m2

Substituting the known values in the formula for area:

Area =  x b x h

36 = x b x 2b

b2 = 36 = 62

or b = 6

Thus, the base of the triangle = 6 m

And, the height of the triangle = 2 x 6 = 12 m

Answered by Expert 25th November 2013, 3:03 AM
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