Triangle XYZ has angles measurements are in the ratio 1:3:5. What is the measurement of the largest angle?

3 answers

the angle opposite the biggest side is biggest.
law of cosines
5^2 = 1^2+3^2 - 2 *1*3 cos A
However, since we don't know the sides, the law of cosines doesn't help us much.

1+3+5 = 9
180/9 = 20
so the angles are 20:60:100

The largest angle is 100°
1x+3x+5x= 180
9x = 180
x =180÷9
= 20
5×20=100
100 is the measurement of largest angle
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