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Triangle rst is circumscribed about the circle below. What is the perimeter of the triangle?

User QrystaL
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2 Answers

5 votes

Not sure what the answer is but this guy didnt attach the dang picture so here.

Triangle rst is circumscribed about the circle below. What is the perimeter of the-example-1
User Tom Ekberg
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6.4k points
4 votes
I have attached the diagram that is related to this question.

Answer:
perimeter of the triangle = 24 units

Step-by-step explanation:
Using the grid, we can note that:
RS = 6 units
ST = 8 units

We know that the triangle inscribed in a circle is a right-angled triangle. Therefore, we can use the Pythagorean theorem to get the third side as follows:
(RT)² = (RS)² + (ST)²
(RT)² = (6)² + (8)²
(RT)² = 100
RT = 10 units

Now, we can get the perimeter as follows:
perimeter = RS + ST + RT
perimeter = 6 + 8 + 10
perimeter = 24 units

Hope this helps :)
Triangle rst is circumscribed about the circle below. What is the perimeter of the-example-1
User Wouter J
by
6.8k points
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