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A triangle has the side lengths 5, 7, and 11. Which term best describes the triangle?

User Tare
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2 Answers

3 votes
It's an obtuse triangle
User VectorVortec
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6 votes

Answer:

Obtuse Triangle.

Explanation:

The Pythagorean Theorem helps us to Classify Triangles according to its sides.

If
a^(2)+b^(2)>c^(2), then lengths a, b, and c make up an acute triangle.

If
a^(2)+b^(2) <c^(2) then lengths a, b, and c make up the sides of an obtuse triangle.

If
a^(2)+b^(2)=c^(2) Then the length a,b,c make a right triangle.

The given sides are 5,7 and 11.


5^(2)+7^(2)<11^(2)

Or 74<121

Or
a^(2)+b^(2) <c^(2)

So given triangle is obtuse triangle.

User Butterflyknife
by
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