Question

In a scalene triangle, the angles are in the ratio of 7:4:3.
Find the value of all the three angles.​

Answer 1

Concept Introduction:-

It could take the shape of a word or a numerical representation of a quantity's arithmetic value.

Given Information:-

We have been given that in a scalene triangle, the angles are in the ratio of $7:4:3$.

To Find:-

We have to find that the value of all the three angles.​

Solution:-

According to the problem

Let the measures of the given angles of the triangle be $(7x)^{\circ},(4 x)^{\circ},(3 x)^{\circ}$ respectively

Then

$7x+4x+3x=180^{\circ} \ldots\left(\right.$ Sum of the angles of a triangle is $\left.180^{\circ}\right)$

$14 \mathrm{x}=180^{\circ}$

$x=180 / 14=12.86$

So, the angle measures $(7 \times 12.86)^{\circ},(4 \times 12.86)^{\circ},(3 \times 12.86)^{\circ}$

ie., $90^{\circ}, 51^{\circ}, 39^{\circ}$

Hence, the angles of the triangles are $90^{\circ}, 51^{\circ}, 39^{\circ}$

Final Answer:-

The correct answer is the angles of the triangles are $90^{\circ}, 51^{\circ}, 39^{\circ}$.

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