The ratio of the angle measures in a triangle is 3:7:8. How do you find the angle measures and then classify the triangle by its angle measures?

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Answer 1 · 2016-09-05T05:31:52

#30^@, 70^@, and, 80^@#.

It is an acute-angled triangle.

The ratio of the measures of #/_#s in #Delta# is #3:7:8#.

So, let us suppose that the measures are, #3k, 7k, 8k#.

Evidently, their sum is #180^@#.

#:. 3k+7k+8k=180#

#:. 18k=180#

#:. k=10#

Hence, the measures are, #30^@, 70^@, and, 80^@#.

As all the angles are acute, so is the triangle.