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NeX [460]
3 years ago
10

Is it possible for a traingle to have angle measures in an extended ratio of 1 : 4 : 7?

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0
<span><span>if one angle is x and the ratio of 1 : 4 : 7, means second angle is 4x and third angle is 7x
since the sum of all three angles in a triangle is 180 degrees, we have

x+4x+7x=180
12x = 180
x = 15
then
4x = 60
7x = 105
The angles are 15°,60 °, and 105 °.</span><span>
Therefore, yes.</span></span>
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