Question

the base and the height of triangle are in ratio of 5:3 and area = 43.2m^2 find base n height

Answer 1

Let the base and height of the given triangle be 5x and 3x respectively.
We know that,
Area of a triangle =
$area \: ofa \: triangle \: \\ = \frac{1}{2} \times base \times height \\ (substituting \: the \: given \: values \\ we \: will \: get \:) \\ = \frac{1}{2} \times 5x \times 3x \\ = \frac{1}{2} \times 15 {x}^{2} = > 43.2 \\ = 15 {x}^{2} \: = > \: 43.2 \times 2 \\ = {x}^{2} = > (43.2 \times 2) \div 15 \\ = {x}^{2} = > 5.76 \\ = x = > \sqrt[2]{5.76} \\ = x = > 2.4 \: \\ \\ the \: base \: and \: height \: \\ are \: (5 \times 2.4) = 12cm \: \\ and \: (3 \times 2.4) = 7.2cm$ respectively.
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