BlessynE473432 BlessynE473432
  • 31-10-2022
  • Mathematics
contestada

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

What is the perimeter of RSTA 24 unitsB 23 unitsC 100 unitsD 114 units class=

Respuesta :

KanyonN407142 KanyonN407142
  • 31-10-2022

Answer:

A. 24 units

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

[tex]\begin{gathered} RT=\sqrt{8^2+6^2} \\ \\ RT=\sqrt{64+36} \\ \\ RT=\sqrt{100} \\ \\ RT=10 \end{gathered}[/tex]

Then, the perimeter is equal to

Perimeter = RS + ST + RT

Perimeter = 8 + 6 + 10

Perimeter = 24

So, the answer is A. 24 units

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