the ratio of the angles of the tringle is 5:7:12 . prove that the tringle is a right tringle.
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Answer:
Step-by-step explanation:
Since the angles are in the ratio 5:7:12, let the angles be 5m, 7m, and 12m
Then 5m+7m+12m=180
24m=180
m=7.5
So the angles are 37.5, 52.5 and90 degrees and hence it is a right triangle
Answered by
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let the ratio be X
according to question
5x +7x+12x = 180( angle sum property of triangle)
24x = 180
X = 180/24
X = 7.5
so angles will be respectively
5x= 5× 7.5= 37.5
7x= 7× 7.5= 52.5
12x= 12× 7.5= 90
so the given triangle is a right angle triangle...
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