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Using the side lengths, determine whether the triangle is acute, obtuse, or right.

Side A = 2
Side B = 8
Side C = 7

User Egelev
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2 Answers

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The answer is acute this is because if there is two longer sides and a short side that makes the triangle acute
User Rocquel
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Answer:

An obtuse triangle.

Explanation:

We have given the different sides of a triangle that is Side A = 2, Side B = 8 and Side C = 7.

According to the question, we can tell the triangle is acute, obtuse or a right triangle.

We know that,

For given sides x,y,z of a triangle,

If
z^(2) =
x^(2) + y^(2), then its a right triangle.

If
z^(2) <
x^(2) + y^(2), then its an acute triangle.

If
z^(2) >
x^(2) + y^(2), then its an obtuse triangle.

We have a = x = 2, b = z = 8 and c = y = 7.

Note: We always take z as the greatest side length.

Now,


x^(2) = 4, \ y^(2) = 49, \ and \ z^(2) = 64.

We can see that, 4 + 49 < 64.

So, we can apply rule

if
z^(2) >
x^(2) + y^(2), then its an obtuse triangle.

Therefore,

Given sides are of an obtuse triangle.

User Jonathan Grynspan
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