Question

Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9?

Answer 1

Answer:

A

Step-by-step explanation:

DE corrsponding to the LN, EF corrsponding to the MN, and LN:DE=MN:FE=3

and angel N is corrsponding to the angle E,so it 's SAS.

Answer 2

Answer:

Yes, by the SAS Similarity Postulate

Step-by-step explanation:

Here, DEF and LMN are two triangles,

In which,

LN = 4 unit,

MN = 3 unit,

DE = 12 unit,

FE = 9 unit,

$\frac{DE}{LN}=\frac{12}{4}=3$

$\frac{FE}{MN}=\frac{9}{3}=3$

$\implies \frac{DE}{LN}=\frac{FE}{MN}$

Also, m∠DEF = m∠LMN = 90° ( given )

By the SAS similarity postulate ( two corresponding sides are in same proportion and corresponding included angles are equal )

$\triangle DE F\sim \triangle LMN$

FIRST option is correct.