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CBSE Class 7 Answered

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 | 25 Nov, 2013, 01:03: AM
answered-by-expert 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 | 25 Nov, 2013, 03:03: AM
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