Determine how (if possible) the triangles are similar. Then write a true similarity statement. C 24 40 E A 22.5 D 15 В v similar, by Theses two triangles Similarity Statement: is similar to A

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Determine how (if possible) the triangles are similar. Then write a true similarity
statement.
24
40
22.5
D
15
B
Theses two triangles
v similar, by
Similarity Statement:
is similar to A
Submit Answer
o search
Transcribed Image Text:* DeltaMath - Meet - tag-omy.ck A 3rd Hour- English 2-Blended nath.com O Ch: O Cadet Portfolio | Lo.. * Summit Learning A STEAMUNLOCKED.. i Rout. C Infinite Campus A Classes Determine how (if possible) the triangles are similar. Then write a true similarity statement. 24 40 22.5 D 15 B Theses two triangles v similar, by Similarity Statement: is similar to A Submit Answer o search
Expert Solution
Step 1

Given Data:

From the figure,

The length of side CE is: CE=24

The length of side BC is: BC=40

The length of side AD is: AD=22.5

The length of side BD is: BD=15

For triangle ABC,

The length of side AB is,

AB=AD+BD

Substitute the values in the above equation.

AB=22.5+15=37.5

Step 2

For triangle DBE,

The length of side BE is,

BE=BC-CE

Substitute the values in the above equation.

BE=40-24=16

For triangle DBE and triangle ABC,

The ratio of EB to BC is,

R1=EBBC

Substitute the values in the above equation.

R1=1640=25

The ratio of BD to AB is,

R2=BDAB

Substitute the values in the above equation.

R2=1537.5=150375=25

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