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Similar triangles ABC and EDF with corresponding angles and side lengths shown.

Two similar triangles, ABC and EDF, with angles and side lengths labeled. Triangle ABC has sides 9 and 18, and angles 113° and 22°. Triangle EDF has sides 12 and 4, and angles 45° and 113°.

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Show Answer Key & Explanations Step-by-step solution for: Tenth grade Lesson Finding Missing Sides of Similar Triangles

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- The triangles are similar by the Angle-Angle (AA) similarity criterion.
- Corresponding angles are equal: ∠A = ∠D = 113°, ∠C = ∠E = 22°, and ∠B = ∠F = 45°.
- The ratio of corresponding sides is constant: AB/DF = BC/EF = AC/DE = 9/4 = 18/12 = 2.25.
- Therefore, the triangles are similar with a scale factor of 2.25.

Parent Tip: Review the logic above to help your child master the concept of finding missing sides of similar triangles worksheet.

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