Question

The base and height of a triangle are in the ratio 3:4 and it's area is 96cm find its base and height

Answer 1

This is the answer and please give me thanks

Answer 2

Answer:

$base (b)=12\:cm\\height =h=16\:cm$

Step-by-step explanation:

$Dimensions \: of \: a \: triangle :\\base= b \\Height = h$

$Ratio \: of \: base \: and \: height = 3:4$

$Let \: b = 3x \\h=4x$

$we \: know \: that\\\boxed {Area\: of \: a\: Triangle (A)=\frac{bh}{2}}$

$\implies A = 96\:cm^{2}$

$\implies \frac{3x\times 4x}{2}=96$

$\implies 6x^{2}=96$

$\implies x^{2}=\frac{96}{6}$

$\implies x^{2}=16$

$\implies x = \sqrt{16}$

$\implies x = 4$

Therefore,

$base (b)= 3x = 3\times 4=12\:cm\\height =h=4x=4\times 4 = 16\:cm$

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