Two triangles and satisfy and

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

Two triangles

\triangle ABC

and

\triangle PQR

satisfy

\angle A = \angle P = 60^\circ

and

\angle B = \angle Q = 50^\circ

. Altitude CF is drawn from C to

AB

and measures

6\,\text{cm}

. Altitude RS is drawn from R to

PQ

and measures

9\,\text{cm}

AB

10\,\text{cm}

. (i) Prove that

\triangle ABC

is similar to

\triangle PQR

. (ii) Find the length of

PQ