Question

Please provide deep explanation showing all work for understanding tthank you

Answer 1

Given:

The side length of the triangle is

`15,16,17`

Required:

To classify the given triangle as acute, obtuse, and right triangle using the sides.

Step-by-step explanation:

Compute the sum of squares of the two smaller sides.

`\begin{gathered} =15^2+16^2 \\ \\ =225+256 \\ \\ =481 \end{gathered}`

Next compare it to the square of the longest side. If the sum is greater, your triangle is acute. If they are equal, your triangle is right. If the sum is shorter, your triangle is obtuse.

Here the square of the logest side is

`17^2=289`

So

`289<481`

So the sum is greater, your triangle is acute.

Final Answer:

The given triangle is acute.