Maths-
General
Easy

Question

If the height to base ratio of a triangle ABC is 3:4 and the area is 864 square units. Determine the height and base of this triangle.

Hint:

Let base and height be 4x and 3x

The correct answer is: 48 units


    It is given that height to base ratio is 3 : 4
    ⇒ Height, h = 3x and Base, b = 4x
    Area of triangle = 1 half cross times b cross times h
    864 = 1 half cross times 4 x cross times 3 x
    864  = 6x2
    144 = x2
    12 = x
    Height = 3x = 3(12) = 36 units and Base = 4x = 4(12) = 48 units

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