1.

If AB/DE=BC/DF in triangle ABC And triangle DEF both of these triangle will be similar if

Answer»

In \: \triangle ABC \:and \:\triangle DEF ,

\frac{AB}{DE} = \frac{BC}{DF} \: ---(1)(given)

\underline { \blue { Property \:of \: Similar \:Triangles :}}

Two triangles are SAID to be similar if their ,

i) Corresponding angles are equal ,

II) Corresponding sides are proportional. */

Here, \frac{AB}{DE} = \frac{BC}{EF} \: --(<klux>2</klux>)

/* From (1) and (2) */

If \: DE = EF \:then\: \triangle ABC \sim \triangle DEF

Therefore.,

\green { If \: DE = EF \implies \triangle ABC \sim \triangle DEF}

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