Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

In the figure, \overline{A B} \perp \overline{C D}, and AD is the bisector of ∠BAE. AB = 4 cm and AC = 5 cm. Find CD.

Option: 1

10 cm


Option: 2

12 cm


Option: 3

15 cm


Option: 4

none of these


Answers (1)

best_answer

Let BD be x cm.

Given AB = 4 cm, AC = 5 cm and ∠ABC = 90°

therefore BC = 3 cm

\left [\because AC^2=AB^2+BC^2 \right ]

And also given, AD is the bisector of ∠ BAE.

Therefore, by vertical angle bisector theorem.

\\\frac{A B}{A C}=\frac{B D}{C D} \Rightarrow \frac{4}{5}=\frac{x}{3+x}\\\Rightarrow 12+4x=5x\\x=12

CD = 12 + 5 = 15 cm

Posted by

Suraj Bhandari

View full answer

Similar Questions

Trending Articles/News

anam-khan

CAT 2024: IIM Kozhikode revises admission criteria; 10% drop in Class 10 weightage
anam-khan

CAT 2024 preparation strategy for last 10 days; section-wise tips, best books
anam-khan

CAT official mock test link 2024 out; IIM Calcutta issues navigation guide at iimcat.ac.in

Latest Question