Write a proof to show triangles ABC and DEF are similar. \triangle ABC with AB=4, BC=6 and CA = 2 \triangle DEF with DE=2, EF=3 and FD = 1

ruigE

ruigE

Answered question

2021-08-01

Write an informal proof to show triangles ABC and DEF are similar.

Given,
ABC with AB=4, BC=6 and CA = 2
DEF with DE=2, EF=3 and FD = 1
We have to prove the two triangles are similar.

Answer & Explanation

sovienesY

sovienesY

Skilled2021-08-02Added 89 answers

In ABC  and  DEF 
Taking the ratio of sides 
ABDE=BCEF=CAFD 
42=63=21=2 
Hence, 
When corresponding sides have an equal ratio,
Then, from SSS(side-side-side) rule of similarity 
ABCDEF

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