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Mathematics

The angles of a triangle are in the ratio 5 : 6 : 7. Find each angle.

Ratio Proportion

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Answer

Given:

Ratio = 5 : 6 : 7.

The sum of all angles in any triangle is always 180°.

Find total parts: 5 + 6 + 7 = 18 parts.

Find the value of 1 part: 180° ÷ 18 = 10°

Now, calculate each angle by multiplying each part with 10°:

First angle: 5 x 10° = 50°

Second angle: 6 x 10° = 60°

Third angle: 7 x 10° = 70°

Angles are 50°, 60°, and 70°.

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Express each of the following ratios in simplest form :
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(ii) $\dfrac{1}{9} : \dfrac{1}{6}$
(iii) $\dfrac{2}{3} : \dfrac{5}{6}$
(iv) $\dfrac{1}{4} : \dfrac{1}{6} : \dfrac{1}{8}$
(v) $1\dfrac{2}{3} : 2\dfrac{1}{2} : 1\dfrac{3}{4}$
(vi) $2\dfrac{1}{3} : 3\dfrac{1}{4} : 1\dfrac{1}{6}$
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