Question 32. In the adjoining figure, CBA is a secant and CD is tangent to the circle. If AB = 7 cm and BC = 9 cm, then (i) Prove that ∆ACD ~ ∆DCB. (ii) Find the length of CD.

Question

deepaksoniGuru

Asked: April 17, 20212021-04-17T07:57:40+05:30 2021-04-17T07:57:40+05:30In: ICSE

This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have a figure in which CBA is a secant and CD is tangent to the circle

Also it is given that AB = 7 cm and BC = 9 cm, then

We have to prove that (i) ∆ACD ~ ∆DCB

And. (ii) Find the length of CD.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 32

Leave an answer

AAREKH · Answer 1 · 2021-04-17T11:07:42+05:30

AAREKH Guru

Solution:
In ∆ACD and ∆DCB
∠C = ∠C (common)
∠CAD = ∠CDB
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q32.2