Question

The angles of the triangle are In the rational 5: 3 : 7,what type of triangle is it?justify

Answer 1

Step-by-step explanation:

I will try to solve this sum

Answer 2

Answer:

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Step-by-step explanation:

Given, the ratio of angles of a triangle is 5 : 3 : 7.

Let angles of a triangle be ∠A,∠B and ∠C.

Then, ∠A = 5x, ∠B = 3x and ∠C = 7x

In ΔABC, ∠A + ∠B + ∠C = 180° [since, sum of all angles of a triangle is 180°]

5x + 3x + 7x = 180°

⇒ 15x = 180°

x = 180°/15= 12°

∠A = 5x = 5 x 12° = 60°

∠B = 3x= 3 x 12°= 36°

and ∠C =7x = 7 x 12° = 84°

Since, all angles are less than 90°, hence the triangle is an acute angled triangle