Question

In triangle abc n triangle pqr ab=4cm ,bc = 7cm pq = 6cm qr = 10.5cm find pr if ac = 8cm

Answer 1

hope it's gonna help u

Answer 2

In triangle  ABC and triangle PQR we have :

AB/PQ = 4/6 = 2/3

BC/QR = 7/10.5 = 70/105 = 2/3

<B=<Q so the two triangles are similar by SAS there. In similar triangles sides are in proportion.

a)Let PR=x.AC=8cm .Forming the proportion in similar triangles :

4/6 = 8/x

Cross multiplying:

4x=48 or x=12.

b) In similar triangles the ratio of area is equal to square of  ratio of proportional sides.

Area of triangle ABC/ Area of triangle PQR = (4/6)^2

= 16/36

= 4/9