Question

If all the angles of the triangle are in ratio of 2:3:5. then find out measurement of all the

angles. Identify the type of triangle.

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Find the measurement of ∠A from given figure.​

Answer 1

Answer:

1st angle = 36 degree

2nd angle = 54

3rd angle = 90 degree

it is a right angle triangle

Answer 2

Answer :-

Given :-

• Ratio of angles of triangle = 2 : 3 : 5

To Find :-

• Measurement of all angles.
• Type of triangle

Solution :-

Let the angles of triangle be 2x , 3x and 5x.

Using angle sum property of triangle :-

→ 2x + 3x + 5x = 180

→ 10x = 180

→ x = 180 / 10

→ x = 18

Angles of triangle -

• 2x = 2 × 18 = 36°
• 3x = 3 × 18 = 54°
• 5x = 5 × 18 = 90°

Angles of triangle are 36° , 54° and 90°.

Here, one angle is 90°.

So, the triangle is the right angled triangle.