SOLUTION: If three angles of a triangle are in the ratio 3:7:10, show that triangle is right angled

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Question 1181776: If three angles of a triangle are in the ratio 3:7:10, show that triangle is right angled
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
3x:7x:10x have to add up to 180 degrees if a triangle, and one of the angles has to be 90 degrees.
20x=180
x=9 degrees
the angles are 27, 63, and 90 degrees, so it is a right triangle.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If three angles of a triangle are in the ratio 3:7:10, show that triangle is right angled
Largest part of the 3 ratios: 10 <=== belonging to LARGEST angle

Fraction belonging to LARGEST angle: matrix%281%2C5%2C+10%2F%283+%2B+7+%2B+10%29%2C+%22=%22%2C+10%2F20%2C+%22=%22%2C+1%2F2%29

Sum of angles of a triangle: 180o

Measure of largest angle of THIS TRIANGLE: highlight_green%28matrix%281%2C3%2C+%281%2F2%29180%5Eo%2C+%22=%22%2C+90%5Eo%29%29

With LARGEST angle being 90o, the triangle is DEFINITELY right-angled!