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Two right triangles with given side lengths, used for solving for unknown variables or verifying Pythagorean theorem.

Two right triangles, ABC and DFE, with side lengths labeled. Triangle ABC has legs AC = x and CB = 90, hypotenuse AB = 106. Triangle DFE has legs DF = 28 and FE = 45, hypotenuse DE = 53.

Two right triangles, ABC and DFE, with side lengths labeled. Triangle ABC has legs AC = x and CB = 90, hypotenuse AB = 106. Triangle DFE has legs DF = 28 and FE = 45, hypotenuse DE = 53.

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Show Answer Key & Explanations Step-by-step solution for: How to Identify Similar Right Triangles | Geometry | Study.com
- The triangles ABC and DEF are similar by the SSS similarity criterion because the ratios of their corresponding sides are equal: 106/53 = 2, 90/45 = 2, and x/28 = 2.
- Therefore, x = 2 * 28 = 56.
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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