Question

Angles of a triangle are in a ratio 3: 5: 4. Write the smallest angle of the triangle.​

Answer 1

Step-by-step explanation:

Given,

All angles of a triangle are in the ratio of 3:5:4

So, let their common factor be x then,

Angles of the triangle are = 3x, 5x, 4x

We know that sum of all the angles of the triangle is 180°

∴ By the problem,

=> 3x+5x+4x = 180°

=> 12x = 180°

=> x = 180°/12

       = 15°

We got x = 15°

Hence all the angles of the triangle are,

3x = 3×15°= 45°

5x = 5×15°= 75°

4x = 4×15°= 60°  

∴ The smallest angle of the triangle is 3x or 45° (Ans)