Cottage Water Problem

Author

Jean-Marie Laborde and Frank Bellemain

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Triangles

Level

9-12

Activity Time

30 Minutes

Resource Types

Lessons

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Cottage Water Problem

Activity Overview

Students use the Cabri Geometry II Plus software to solve a geometry problem. They move the vertex point that is common to two right triangles along the base to find the smallest possible sum of the length of the hypotenuse.

Before the Activity

Download the Cabri Geometry™ software on the computer

See the attached FIG file for details of this activity

During the Activity

Follow the Activity procedure:

For each triangle measure the base angle with the common vertex

Drag the common vertex along the base and note where the base angles in both the triangles have the same value

With the vertex at this point, measure the hypotenuse of the two triangles

Sum of the length of the hypotenuse gives the smallest length of pipe required

Verify this value by moving the pump along the river and viewing the total length of the pipes

Change the position of the cottages and repeat the activity

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

CabriGeo_II_Plus_Act01.fig

Author

Jean-Marie Laborde and Frank Bellemain

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Triangles

Level

9-12

Activity Time

30 Minutes

Resource Types

Lessons

Report an Issue

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Cottage Water Problem

Cottage Water Problem

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