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.
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.
3 answers
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
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
Need to improve in easy way.
0 answers