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igomit [66]
1 year ago
9

Consider the diagram and proof by contradiction.

Mathematics
1 answer:
Ilia_Sergeevich [38]1 year ago
6 0

Answer: converse of the isosceles triangle theorem

Step-by-step explanation:

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Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos
gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If

A^2 + B^2 < C^2

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

A^2 + B^2 < C^2

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a = 5 inches

b = 8 inches

c = ?

Substituting we get,

A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

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<u>Answer:</u>

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Step-by-step explanation:

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