Question

if the angles of a triangle are in the ratio 1:4:5 find the angles​

Answer 1

Answer:

let the angles of the triangle be 1x , 4x and 5x

1x+4x+5x = 180

10x = 180

x = 180/10

x = 18

the angles are -

1x = 1×18 = 18

4x = 2×18 = 36

5x = 3×18 = 54

This is your answer

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Answer 2

Taking the common ratio as 'b'; the angles are 4b, 5b and 1b.

Therefore, 1b + 4b + 5b = 180° { ANGLE-SUM PROPERTY OF A TRIANGLE}

=> 10b = 180°

=> b = 180°/10

=> b = 18°

Therefore, the angles of the triangle are

1) 1b = 1×18° = 18°

2) 4b = 4×18° = 72°

3) 5b = 4×18° = 90°

Hence it can be inferred that the triangle is a right angled triangle.

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