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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 =

864 =

864 = 6x^{2}

144 = x^{2}

12 = x

Height = 3x = 3(12) = 36 units and Base = 4x = 4(12) = 48 units

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