Question

What is the perimeter of ▲RST?A. 24 unitsB. 23 unitsC. 100 unitsD. 114 units

Answer 1

A. 24 units

Step-by-step explanation:

The perimeter of the triangle RST is equal to the sum of their sides.

We know that RS = 8 units and ST = 6 units.

Then, by the Pythagorean theorem, we can calculate the length of side RT as follows

`\begin{gathered} RT=√(8^2+6^2) \\ \\ RT=√(64+36) \\ \\ RT=√(100) \\ \\ RT=10 \end{gathered}`

Then, the perimeter is equal to

Perimeter = RS + ST + RT

Perimeter = 8 + 6 + 10

Perimeter = 24

So, the answer is A. 24 units