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G-SRT.3 Warmup M2-048-A06-V04

Use similarity transformations to establish the AA similarity criterion.

Use AA similarity to find a missing side

Problem

The triangles are similar by \(AA\). Use this information to find the missing side: side \(PQ\) corresponds to side \(UV\), side \(PR\) corresponds to side \(UW\), \(PQ~=~6\), \(UV~=~15\), \(PR~=~8\), and \(UW~=~x\).

Neutral AA similar-triangle side reference: PQ 6 corresponds to UV 15 and PR 8 corresponds to UW x, without completed triangles. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.3
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use similarity transformations to establish the AA similarity criterion.
Problem type
Use AA similarity to find a missing side