Question

If the angles of a triangle are in the ratio 2:3:5,show that the triangle is a right angle.

Answer 1

Answer:

Ratio = 2 : 3 : 5

Angle sum property of triangle says all angles addition is 180 degree. let the angles be as 2x 3x and 5x

==> 2x + 3x + 5x = 180

==> 10x = 180

==> x = 180/10

==> x = 18

One Angle = 2x = 2 × 18 = 36

Second Angle = 3x = 3 × 18 = 54

Third angle = 5x = 5 × 18 = 90

.°. The angle are 36°, 54° and 90°.

one angle is 90 degree which is right angle

therefore it is a right angled triangle

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