Question: "Determine if the pair of triangles are similar...."

Albarellak

Answered question

2021-08-06

Determine if the pair of triangles are similar.

not similar
AA sim
SAS sim
SSS sim

Neelam Wainwright

Skilled2021-08-07Added 102 answers

From the figure we can write as following:

\frac{E F}{A B} = \frac{42}{35} = 1.2

...(1)

\frac{E D}{C B} = \frac{30}{25} = 1.2

...(2)

\frac{F D}{C A} = \frac{24}{20} = 1.2

...(3)
From the equations (1), (2) and (3),

\frac{E F}{A B} = \frac{E D}{C B} = \frac{F D}{C A}

Since, the corresponding sides of the triangles are in same proportion. So, according to SSS similarity criteria. the triangle BCA

\sim

triangle EDF.

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