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

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) (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 ,, and , the largest side is
and largest angle is on opposite to this side
the smallest sized angle will be opposite to the side that is long
and the middle sized angle will be opposite to the side that is long

Answer by ikleyn(53804) (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
----------------------------------------------------------------

= 1.732 (approximately).

Correspondingly, = 17.32.

Also note that = = 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.

RELATED QUESTIONS
Find the perimeter of a triangular region with side lengths 13 ft, 15 ft, and 11... (answered by Alan3354)
A triangle had the following side lengths: 33 ft, 56 ft and 65 ft. Was it a right... (answered by bucky)
A triangle had the following side lengths: 33 ft, 56 ft and 65 ft. Was it a right... (answered by MathLover1)
One hundred feet of fencing is used to construct two congruent triangular enclosures with (answered by solver91311)
Is it possible to construct a triangle with side lengths of 1 ft, 3 ft, and 4 ft? Why or... (answered by Alan3354)
what are the possible lengths for x,the third side of a triangle , if two sides are 9 ft... (answered by ewatrrr)
The triangle inequality theorem states that the sum of the lengths of any two sides of a... (answered by Alan3354,josgarithmetic,MathTherapy)
A triangle has side lengths 12 ft, 13 ft, and 14 ft. Find the measure of the angle... (answered by J2R2R)
I'am an online student and I have the following Questions True or False. If the... (answered by nerdybill)