GOZUNTA
Try it now
Problem preview
G-CO.12 Warmup M1-035-A09-V04

Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.

Determine whether side lengths can form a constructed triangle

Problem

Analyze the displayed side lengths with the triangle inequality, relate the equality case to external tangency and collinearity of the construction circles, and determine nondegenerate-triangle feasibility and the number of triangles.

Base AB has length 9; the circle centered at A has radius 4 and the circle centered at B has radius 5; the circles are externally tangent at one point on AB. Open full size
Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.12
Category
Geometry
Domain
Congruence
Objective
Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.
Problem type
Determine whether side lengths can form a constructed triangle