Problem preview
G-GPE.7 Warmup M1-046-A02-V01

Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.

Find the perimeter of a triangle from its vertices on the coordinate plane

Problem

Find the perimeter of the triangle with vertices \(A(0,~0)\), \(B(3,~0)\), and \(C(0,~4)\).

Big Picture

What this problem is really about

Perimeter means walking the entire boundary, so list all three side lengths before adding anything. Horizontal or vertical edges come from one coordinate difference, while a diagonal needs the distance formula; this prevents the common mistake of adding only the easy legs or reporting one side as the whole perimeter.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-GPE.7
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.
Problem type
Find the perimeter of a triangle from its vertices on the coordinate plane