Question

The internal angles of a triangle in the ratio 3:5:7. Find the degree measures of the angles. Also find measure of its greatest exterior angle.Give complete calculation.

Answer 1

let the angles be 3x, 5x, and 7x
you know they have to add up to 180°

Solve
3x + 5x + 7x = 180 for x, the sub back into my definitions.

Answer 2

Let 3x be the smallest angle; this will make other angles 5x and 7x.

There are 180° in a triangle, so:

3 x + 5 x + 7 x = 180 °

15 x =180° Divide both sides by 15

x = 180° / 15

x = 12 °


Angles:

3 x = 3 * 12 = 36°

5 x = 5 * 12 = 60°

7 x = 7 * 12 = 84°


Proof:

36° / 84° = 4 * 3 * 3 / ( 4 * 3 * 7 ) = 3 / 7

60 / 84 = 4 * 3 * 5 / ( 4 * 3 * 7 ) = 5 / 7

Answer 3

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