The radius of circle M is 5 cm, the radius of circle N is 3 cm, and the radius of circle L is 3 cm. What is the perimeter of triangle LMN? SHOW YOUR
WORK. Hint: to find the perimeter of a triangle, add up all the sides.
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The radius of circle M is 5 cm the radius of circle N is 3 cm and the radius of circle L is 3 cm What is the perimeter of triangle LMN SHOW YOUR WORK Hint to fi class=

Respuesta :

Answer: The Answer Is 22 cm

Step-by-step explanation:

So the radius is the distance from the middle of the circle to the edge of the circle.
Radius of M is 5, N is 3, and L is 3.
First, let's look at circle M, as we can see we have two lines coming from the center. Since we know that the radius is the distance from the center of the circle to the edge, each line for circle M is 5 cm. Since we have 2 lines it is equal to 10 cm. Let's look at circle L and do the same thing, since the radius is 3 cm and we have 2 lines, both lines add to 6 cm. Lastly, circle N, the radius is also 3 cm and we have another 2 lines, which adds up to 6 cm. Now that we have all the lengths, we need to add them all up. 10 + 6 + 6 = 22 cm.

Answer:

[tex]\text{Solution:}\\\text{Suppose:}\\\text{Radius of circle L}=\text{R}_\text{L}=3\text{cm}\\\text{Radius of circle M}=\text{R}_\text{M}=5\text{cm}\\\text{Radius of circle N}=\text{R}_\text{N}=3\text{cm}\\[/tex]

[tex]\text{Now,}\\\text{LM = R}_\text{M}+\text{R}_\text{L}=5+3=8\text{cm}[/tex]

[tex]\text{LN}=\text{R}_\text{N}+\text{R}_\text{L}=3+3=6\text{cm}[/tex]

[tex]\text{MN}=\text{R}_\text{M}+\text{R}_\text{N}=5+3=8\text{cm}[/tex]

[tex]\therefore\ \text{Perimeter of }\triangle \text{LMN = LM + LN + MN}=8+6+8=22\text{cm}[/tex]