Similar Triangles: Calculate Perimeter Using 12-13-5 Triangle Measurements

5.213125 The triangle above are similar.

What is the perimeter of the blue triangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the perimeter of the triangle according to the similarity ratio
00:03 The perimeter of the triangle equals the sum of its sides
00:09 This is the known triangle perimeter
00:15 The perimeter of the triangles equals the similarity ratio
00:23 Let's substitute appropriate values and solve for the perimeter
00:34 Multiply by the reciprocal to isolate P
00:45 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5.213125 The triangle above are similar.

What is the perimeter of the blue triangle?

2

Step-by-step solution

The perimeter of the left triangle: 13+12+5=25+5=30

Therefore, the perimeter of the right triangle divided by 30 is equal to 5.2 divided by 13:

x30=5.213 \frac{x}{30}=\frac{5.2}{13}

13x=156 13x=156

x=12 x=12

3

Final Answer

12

Practice Quiz

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If it is known that both triangles are equilateral, are they therefore similar?

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