Questions: Are the triangles similar?

Are the triangles similar?
Transcript text: Are the triangles similar?
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Solution

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Solution Steps

Step 1: Identify Corresponding Sides

Identify the corresponding sides of the two triangles. The sides of the first triangle are 10, 16, and 20. The sides of the second triangle are 2, 3, and 4.

Step 2: Calculate Ratios of Corresponding Sides

Calculate the ratios of the corresponding sides:

  • Ratio of the smallest sides: \( \frac{10}{2} = 5 \)
  • Ratio of the middle sides: \( \frac{16}{3} \approx 5.33 \)
  • Ratio of the largest sides: \( \frac{20}{4} = 5 \)
Step 3: Compare Ratios

Compare the ratios of the corresponding sides. For the triangles to be similar, all corresponding side ratios must be equal. Here, the ratios are 5, 5.33, and 5, which are not equal.

Final Answer

B. No

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