Question

if three angles of a triangle are in ratio of 1:2:6, find their measures. what type of triangle is it?

Answer 1

Answer:

x+2x+6x=180

9x=180

x=20

2x=2×20=40

6x=6×20=120

Answer 2

• Given

• The ratio of three angles of triangle = 1 : 2 : 6

• To find

• Measure of each angle
• Type of triangle

• Solution

Let the three angles of triangle be 1x, 2x and 6x.

As we know,

• Sum of angles of triangle = 180

⇒ 1x + 2x + 6x = 180°

⇒ 9x = 180°

⇒ x = 180/9

⇒ x = 90°

The value of x is 20°.

The measure of three angles of triangle -

• First angle = x = 20°
• Second angle = 2x = 20° × 2 = 40°
• Third angle = 6x = 20° × 6 = 120°

It is a scalene triangle.

Reason : All the three angles are different.

• A scalene triangle has all different angles and different sides.

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Let's verify -

• Sum of angles of triangle = 180°

⇒ 20° + 40° + 120°

⇒ 180°

Hence, verified.