Question

1
(1) Find the a
a the area of a quadrilateral whose one diagonal is 20 cm long and the
ndiculars to this diagonal from other vertices are of length 9 cm and
15 cm.​

Answer 1

Answer:

Angle PST = QTR=90°

PR=20 cm✓

• •°•Area of ∆PQR

=> ½ × PR × TQ

=> ½ × 20 × 15=150 cm²

Similarly :

_______________

• Area of ∆ PSR

=> ½ × PR × ST

=>½×20×9=90cm²✓

Now the area of the Quadrilateral is given by

Sum of

$area \: of \: triangles \\ \\ = > 90 + 150 \\ \\ = > 240cm^{2}$