Step by step solution to "The three angles are in ratio 2:3:5. find..."

Davin Irwin

Answered question

2022-12-25

The three angles are in ratio 2:3:5. find the measure of each angle. classify the triangle

Dane Brennan

Beginner2022-12-26Added 9 answers

Given: Ratios =2:3:5
Let x be the common factor for the angle ratio.

the three angles will be 2x,3x,5x.

So,

2 x + 3 x + 5 x = 180^{\circ}

[sum of three angles of a triangle is

180^{\circ}

]

\Rightarrow 10 x = 180^{\circ}

So,

x = 18^{\circ}

∴ three angles are

2 x = 2 \times 18^{\circ} = 36^{\circ}

3 x = 3 \times 18^{\circ} = 54^{\circ}

5 x = 5 \times 18^{\circ} = 90^{\circ}

Therefore angles are

36^{\circ}, 54^{\circ}, and 90 \circ

.
It is a right-angled triangle.

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