Question

In triangle ABC, P and Q are mid-pts of sides AB and AC respectively. ARperpendicular toPO, Area of triangle ABC = 5cm ar (2 ABC) = 10 sqcm then BC EQUALS

​

Answer 1

Answer:

Answers

ParmesanchilliwackAmbitious

Answer: 72\text{ square cm}

Step-by-step explanation:

Here ABC is a triangle,

In which P, Q,and R are the midpoint of sides AB, BC and AC respectively.

Since, line joining to the mid points of two sides is parallel to third side,

Therefore, PR ║ BQ and PB ║ RQ

⇒ Figure, PBQR is a parallelogram,

Since, the diagonal of parallelogram equally divides the area of the parallelogram,

⇒ Area of triangle PQR = 1/2 × area of parallelogram PBQR = 18 square cm

Also, by the mid point theorem,

1/4 × Area of triangle ABC = Area of triangle PQR

⇒ Area of triangle ABC = 4 × Area of triangle PQR = 4 × 18 = 72 square cm

Answer 2

Step-by-step explanation:

72 is the area of paraellogram