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Mathematics

Find the angles of a triangle which are in the ratio 5 : 4 : 3.

Ratio Proportion

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Answer

Given,

Let the angles of triangle be 5x, 4x and 3x.

We know that,

Sum of angles of a triangle = 180°

5x+4x+3x=18012x=180x=18012=15.\Rightarrow 5x + 4x + 3x = 180 \\[1em] \Rightarrow 12x = 180 \\[1em] \Rightarrow x = \dfrac{180}{12} = 15.

⇒ 5x = 5(15) = 75°

⇒ 4x = 4(15) = 60°

⇒ 3x = 3(15) = 45°

Hence, the angles of the triangle are 75°, 60° and 45°.

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