In the given figure A B=9 {\cm}, P A=7.5 {\cm} and P C=5 {\cm}. Chords A D and B C intersect at P. (i) Prove that \triangle P A B ∼ \triangle P C D (ii) Find the length of C D. (iii) Find area of \triangle P A B : area of \triangle P C D.

ICSE Class X Math 2020 Solved Paper - Question 17

Question : 17 of 29

Marks: +1, -0

In the given figure

A B=9 {\cm}, P A=7.5 {\cm}

and

P C=5 {\cm}

.
Chords

A D

and

B C

intersect at

P

(i) Prove that

△ P A B ∼ △ P C D

(ii) Find the length of

C D

.
(iii) Find area of

△ P A B

: area of

△ P C D

Solution:

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