Question

In the quadrilateral ABCD, BL and DM are perpendicular from B and D on AC. IF AC = 60 cm, BL = 23 cm and DM = 19 cm. Find the area of the quadrilateral.​

Answer 1

Answer:

GivenABCD is a quadrilateral in which diagonals AC and BD intersect each other at P

Also,DN⊥AC and BM⊥AC

DN=BM

In △DNP and △BMP we have

∠DPN=∠BPM since they are vertically opposite angles.

∠DNP=∠BMP since each are equal to 90

∘

DN=BM(given)

⇒△DNP≅△BMP by AAS postulate.

⇒DP=BP=8cms by CPCT

We have BD=BP+DP=8+8=16cms from the diagram.

Answer 2

sir give the answer from book is16