Q. 674.3( 3 Votes )

The area of a right – angled triangle is 96 sq metres. If the base is three times the altitude, find the base.

Answer :

Let the altitude of the triangle be x m

The base will be 3x m


Area of triangle = 1/2. Base. altitude


1/2.3x.x = 96



x2 = 64


x = 8 or – 8 taking square root


Value of x cannot be negative


Thus the altitude of the triangle be 8 m


The base will be 3.8 = 24m


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