Question

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21. The interior angles of a triangle are in the ratio 2:3:5. Find all the angles. Is this a right triangle​

Answer 1

Ratio = 2:3:5

◇ Angle sum property of triangle says all angles addition is 180°.

◇ Let the angles be as 2x , 3x, and 5x.

2x + 3x + 5x = 180

10x = 180

x = 180/10

x = 18

first angle = 2x = 2×18 = 36

second angle = 3x = 3×18 = 54

third angle = 5x = 5×18 = 90

Hence, the angles are 36° , 54° , and 90° .

☆ Yes, this is a right triangle.