The angles of a triangle are in the ratio 3: 4: 5. Find the smallest a

1.	The angles of a triangle are in the ratio 3: 4: 5. Find the smallest angle.
Answer» Given that angles of a triangle are in the ratio: 3: 4: 5 Therefore let the measure of the angles be 3x, 4x, 5x We know that sum of the angles of a triangle =180° 3x + 4x + 5x = 180° 12x = 180° x = 180/12 x = 15° Smallest angle = 3x = 3 × 15° = 45° Therefore smallest angle = 45°

The angles of a triangle are in the ratio 3: 4: 5. Find the smallest angle.

Answer»

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

Therefore let the measure of the angles be 3x, 4x, 5x

We know that sum of the angles of a triangle =180°

3x + 4x + 5x = 180°

12x = 180°

x = 180/12

x = 15°

Smallest angle = 3x

= 3 × 15°

= 45°

Therefore smallest angle = 45°