Atriangle has side lengths of 23 in, 6 in, and 28 in. classify it as acute, obtuse, or right.

The triangle has side lengths of 23 in, 6 in, and 28 in. is an obtuse triangle.

Step-by-step explanation:

Given : A triangle has side lengths of 23 in, 6 in, and 28 in.

To Classify: It as acute, obtuse, or right.

Solution:

Let 'c' be the longest side on the set of three numbers.

If , the triangle is right

If , the triangle is obtuse

If , the triangle is acute.

So, let a=6 , b=23 and c=28

Now we put the value in   to check it is equal,greater or less.

LHS -

RHS -  

which means

i.e, LHS > RHS

So, the triangle is an obtuse.

Therefore, The triangle has side lengths of 23 in, 6 in, and 28 in. is an obtuse triangle.