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G-SRT.2 Warmup M2-047-A06-V03

Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.

Find a missing side length from corresponding sides in similar triangles

Problem

Use triangle similarity to find the missing side: corresponding sides \(5\to~15\) and \(x\to~21\)

Neutral similar-triangle side reference: 5 corresponds to 15 and x corresponds to 21, without completed triangles. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.2
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.
Problem type
Find a missing side length from corresponding sides in similar triangles