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

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) (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) (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:
Sum of angles of a triangle: 180^o
Measure of largest angle of THIS TRIANGLE:
With LARGEST angle being 90^o, the triangle is DEFINITELY right-angled!
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