Math Problem Statement

An image of similar triangles is shown. Use the image to answer the questions.

a triangle GEH with side GE labeled 15, side GH labeled 12, and side HE labeled 9 and a second triangle DEF with side DF labeled 16

Part A: Find the length of side FE. Show each step of your work. (2 points)

Part B: Find the length of side DE. Show each step of your work. (2 points)

Solution

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Math Problem Analysis

Mathematical Concepts

Proportions
Similar Triangles
Geometry

Formulas

Corresponding sides of similar triangles are proportional: (side1/side2 = side3/side4)

Theorems

Triangle Similarity Theorem

Suitable Grade Level

Grades 8-10