Question

The angles of a triangle are in the ratio 3:7:8.
Then smallest angle in radians is-​

Answer 1

Answer:

The ratio of angles of triangles are 3:7:8

Let the measures of triangles are 3x,7x,8x.

⇒ 3x+7x+8x=180

[ Sum of angles of triangle is 180]

⇒ 18x=180

⇒ x= 180/18

x =10

⇒ 3x=3×10 =30

⇒ 7x=7×10 =70

⇒ 8x=8×10 =80

∴ Greatest and the smallest angles are 80

and 30

Answer 2

${SoLuTiOn}$

Given the angles of triangle in ratio :-

3 : 7 : 8

To find :-

The smallest angle in radian

SoLuTiOn :-

As we know that sum of angles in a triangle is 180° So,

Let the angles in a triangle is

• 3x
• 7x
• 8x

Since these angles sum is 180°

3x + 7x + 8x = 180°

18x = 180°

x = 180/18

x = 10°

So, Required angles are :-

3x = 3(10)

3x = 30°

7x = 7(10)

7x = 70°

8x = 8(10)

8x = 80°

So, the required angles are 30° , 70°, 80°

Smallest angle is 30° = π/6