Question

In triangle ABC angle B=60° AB=3cm,BC=6cm.In triangle PQR angle P=40°,angle R=80°,PQ=4.5cm.prove that triangle ABC similar triangle PQR

Answer 1

Step-by-step explanation:

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Answer 2

$\bigtriangleup ABC \sim\bigtriangleup PQR$

Step-by-step explanation:

given that : B=60° AB=3cm,BC=6cm

P=40°,angle R=80°,PQ=4.5cm

in triangle PQR

$\angle P +\angle Q + \angle R = 180^\circ\\\\40 +\angle Q+80 =180\\\\\angle Q= 60^\circ$

similarly in triangle ABC

$\angle B = 60^\circ \\\\\angle A + \angle B +\angle C = 180$

$\angle A + \angle C = 120^\circ$

therefore , A and C be 40° and 80°

now in triangle ABC and PQR

$\angle A = \angle P \\\\\angle B = \angle Q\\\\\angle C = \angle R$

hence , by AAA criterian

$\bigtriangleup ABC \sim\bigtriangleup PQR$

Hence proved

#Learn more:

Costruct a triangle pqr with pq=3cm

Angle p is 30° and angle R is 60°

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