Answered

which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?

A). ambiguously defined

B).non-existent

C).a unique,acute triangle

D).a unique,right triangle

Verified Answer :

Hagrid

The correct answer for this question is this one: "C).a unique,acute triangle"

The statement that best describes a triangle with side lengths of 6 inches 8 inches and 9 inches is that it is a unique,acute triangle
Hope this helps answer your question and have a nice day ahead.

Answer:

The option that best describes a triangle with side lengths of 6 inches 8 inches and 9 inches is:

            C)   a unique , acute triangle

Step-by-step explanation:

We know that with the help of given three side lengths always a unique triangle is possible.

Pythagorean Theorem for acute angles states that:

If c is the longest side of a triangle and a and b are other two sides of a triangle.

Then,

             \(c^2

Here the three sides of a triangle are:

                  6 inches 8 inches and 9 inches.

i.e. the longest side i.e. c = 9 inches.

Also, let a=6 inches and b=8 inches.

and

\(9^2<6^2+8^2\\\\81<36+64\\\\81<100\)

Hence, the triangle is a acute triangle.

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