Question

2 pointsDo the following lengths form right triangles? 1 point correct answer, 1point showing your work. *a = 2.1, b = 7.2, c= 7.5Your answer

Answer 1

We are asked to find out whether the given lengths correspond to a right-angled triangle.

`\begin{gathered} a=2.1 \\ b=7.2 \\ c=7.5 \end{gathered}`

Recall that a right-angled triangle must satisfy the Pythagorean theorem.

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

Let us substitute the given values into the above formula

`\begin{gathered} a^2+b^2=c^2 \\ 2.1^2+7.2^2=7.5^2 \\ 4.41+51.84=56.25 \\ 56.25=56.25 \end{gathered}`

As you can see, the Pythagorean theorem is satisfied.

Therefore, the given lengths form a right triangle.