Plz complete solution In an equilateral triangle ABC, a line segment is drawn from each vertex to a point on the oppositeside so that the segment divides the side in the ratio 1:2, creating another equilateral triangle DEF(see below).AEBD(a) What is the ratio of the areas of the two equilateral triangles? To answer this question,(i) create the above diagram with your geometry package.(ii) measure the lengths of the sides of the two equilateral triangles.(iii) find the areas of the two equilateral triangles and the ratio between them.(b) Repeat the procedure above for at least two other side ratios, 1:n.

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In an equilateral triangle ABC, a line segment is drawn from each vertex to a point on the opposite side so that the segment divides the side in the ratio 1:2, creating another equilateral triangle DEF (see below). 0 F

In an equilateral triangle ABC, a line segment is drawn from each vertex to a point on the opposite side so that the segment divides the side in the ratio 1:2, creating another equilateral triangle DEF (see below). 0 F

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Plz complete solution

In an equilateral triangle ABC, a line segment is drawn from each vertex to a point on the opposite
side so that the segment divides the side in the ratio 1:2, creating another equilateral triangle DEF
(see below).
A
E
B
D
(a) What is the ratio of the areas of the two equilateral triangles? To answer this question,
(i) create the above diagram with your geometry package.
(ii) measure the lengths of the sides of the two equilateral triangles.
(iii) find the areas of the two equilateral triangles and the ratio between them.
(b) Repeat the procedure above for at least two other side ratios, 1:n.

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