Are the two triangles similar? If so, by what similarity shortcut?

remolatg

remolatg

Answered question

2021-07-31

Are the two triangles similar? If so, by what similarity shortcut?

SSS
SAS
AA
Not Similar

Answer & Explanation

smallq9

smallq9

Skilled2021-08-01Added 106 answers

In ABC
ADDB=63=2
AEEC=84=2
ADDB=AEEC
Thus, by Converse of Basic Proportionality Theorem
DEBC
In parallel lines corresponding angles are equal
Hence,
ADE=ABC
AEC=ACB
Thus, ADEABC by AA ( Angle-Angle ) similarity criterion.

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