Question

Two triangles ABC and PQR are such that AB = 3 cm, AC = 6 cm, ∠A = 70°, PR = 9 cm, ∠P = 70° and PQ = 4.5 cm. Show that ΔABC ∼ ΔPQR and state the similarity criterion.

Answer 1

Now, In ΔABC and ΔPQR
∠𝐴 = ∠𝑃 = 70°(𝐺𝑖𝑣𝑒𝑛)  

`(AB)/(PQ)=(AC)/(PR)`   `[∵ 3/4.5=6/9⇒1/1.5=1/1.5]` 

By SAS similarity criterion, ΔABC~ ΔPQR