Question

Will 4.5 , 6 and 7.5 make a right triangle

Answer 1

It's important to know that the three given sides must be congruent with the Pythagorean's Theorem in order to form a right triangle.

The theorem is

`c^2=a^2+b^2`

Where c is the longer side. Let's replace each side.

`(7.5)^2=6^2+(4.5)^2`

Let's solve each side of the equation.

`\begin{gathered} 56.25=36+20.25 \\ 56.25=56.25 \end{gathered}`

Since the three given sides satisfy the Pythagorean's Theorem, we can deduct that they form a right triangle.