Question

if the ratio of angles of triangle is 2:3:7 what is the ratio of its sides
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Answer 1

Answer:

Given that angles of the triangle are in the ratio of 2:3:7

We know that sum of the angles of the triangle is 180

0

Therefore, 2x+3x+7x=180

⟹12x=180

⟹x=15

Therefore, the first angle is 2x=2∗15=30

0

the second angle is 3x=3∗15=45

0

and the third angle is 7x=7∗15=105

0

The sides are in the ratio of sin30:sin45:sin105

=

2

1

:

2

1

:

2

2

3

+1

=

2

:2:

3

+1

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