Math, asked by gurjitrai, 3 months ago

if the area of triangle is 150m and the ratio of the base and the height is 3:4 then find its height​

Answers

Answered by eshantkumar53
0

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Answered by Anonymous
5

Given:-

  • Area of triangle = \sf{{150}^{2}}
  • Ratio of the base and the height is = 3:4

To Find:-

  • Find its height =?

Formula used here :-

\sf{\frac{1}{2}×base× height}

Solution:-

Let the base be 3x and height be 4x respectively.

Area of triangle = \sf{{150}^{2}}

According to the question,

\sf\implies{\frac{1}{2}} ×3x × 4x = 150

\sf\implies{{4x}^{2}} = 150

\sf\implies{x} = \sf{\sqrt{25}}

\sf\implies{+_ 5}

On putting the value of x= 5 m

Height = 4× 5

Hence, we get height = 20m.

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