Question

खेलना अच्छा नहीं किसी के नाज़ुक दिल से, तुम जाओगे जब कोई खेलेगा तुम्हारे दिल से।​

Answer 1

Answer:

Given: ∠A=∠C,AB=6cm,BP=15cm,AP=12cm CP=4

To fine. lengths of PD and CD

Sol. In ΔABP and ΔCDP,

∠A=∠C (Given)

∠2=∠1 (Vertically opposite angles)

∴ΔABP∼ΔCDP [By AA similarity criterion]

Refer image.

=

CD

AB

=

CP

AP

=

DP

BP

(since corresponding sides of two similar triangles are proportional)

=

y

6

=

4

12

=

x

15

=

y

6

=

4

12

=y=

12

6×4

=2cm

=

x

15

=

4

12

⇒

x

15

=3

⇒x=5cm

∴PD=5cm AND CD=2cm