SOLUTION: Consider a triangle with side lengths of 10 ft, 17.32 ft, and 20 ft. By examining the side lengths, what can you conclude about the measurement of the angles? Explain your reasoni

Algebra ->  Triangles -> SOLUTION: Consider a triangle with side lengths of 10 ft, 17.32 ft, and 20 ft. By examining the side lengths, what can you conclude about the measurement of the angles? Explain your reasoni      Log On


   

Question 1012070: Consider a triangle with side lengths of 10 ft, 17.32 ft, and 20 ft. By examining the side lengths, what can you conclude about the measurement of the angles? Explain your reasoning
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Relationship between measurement of the sides and angles in a Triangle:

The largest interior angle and side are opposite each other.
The same rule applies to the smallest sized angle and side and the middle sized angle and side.

if side lengths of 10ft,+17.32ft, and 20ft, the largest side is
20ft and largest angle is on opposite to this side
the smallest sized angle will be opposite to the side that is 10ft long
and the middle sized angle will be opposite to the side that is 17.32ft long


Answer by ikleyn(53804) About Me  (Show Source):
You can put this solution on YOUR website!
.
Consider a triangle with side lengths of 10 ft, 17.32 ft, and 20 ft.
By examining the side lengths, what can you conclude about the measurement of the angles? Explain your reasoning
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sqrt%283%29 = 1.732 (approximately).

Correspondingly, 10%2Asqrt%283%29 = 17.32.

Also note that sqrt%2820%5E2-10%5E2%29 = sqrt%28300%29 = 17.32 (approx.)

So it looks like this triangle is right-angled triangle with one acute angle of 60 degree and the other acute angle of 30 degree.