Answer :

To Prove: Δ ABC ∼ Δ PQR

Given:

Proof:

Median divides the opposite side

BD = and,

QM =

Now,

=

In Δ ABD and Δ PQM,

Side-Side-Side (SSS) Similarity Theorem - If the lengths of the

**corresponding**sides of two triangles are

**proportional**, then the triangles must be

**similar**.

ΔABD ΔPQM (By SSS similarity)

∠ABD = ∠PQM (Corresponding angles of similar triangles)

In ΔABC and ΔPQR,

∠ABD = ∠PQM (Proved above)

The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are

**congruent**, then the two triangles are similar.

ΔABC ΔPQR (By SAS similarity)

Hence, Proved.Rate this question :

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