Question

दिये गये चित्र में pQऔर BCएक दूसरे के समांतर है और PQ :BC=1:3 है यदि त्रिभुज ABC का क्षेत्रफल 144 वर्ग सेमी है तब त्रिभुज APQ का क्षेत्रफल क्या होगा​

Answer 1

PQ // BC

PQ/BC = 1/3

area of triangle ABC = 144cm²

area of triangle APQ = ?

In triangle APQ and ABC ,

angle P = angle B

angle Q = angle C

triangle APQ and triangle ABC

AP/AB = PQ/BC

= AQ/AC = 1/3

area of triangle APQ/ area of triangle ABC

= ( PQ/ BC) ²

= area of triangle APQ/ 144

= (1/3)²

area of triangle APQ = 1/9× 144

= area of triangle APQ = 144/9.