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The base of a triangle is 3 times its height.
If the area of the triangle is 96 sq cm, find the height.

Class 7Area of TrianglesPerimeter and Area

A16
B7
C9
D8

Step-by-Step Solution

Let height =

h

, then base = 3

h

. Area =

\frac{1}{2} x 3 h x h = \frac{3}{2} h^{2} = 96

. So

h^{2} = 64

, giving

h = 8

cm.

Answer: D) 8

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