In ΔABC, AB=BC=6cm. If a circle is drawn with center at B and radius 2 cm whic

Question

In $Δ A B C, A B = B C = 6 c m$ . If a circle is drawn with center at B and radius 2 cm which intersects AB and BC at E and D, then $Δ A B C \sim Δ E B D$ .

Options:

A . True

B . False

C . MB = 5 cm

D . AC = 5 cm

Answer: Option A
:
A

In ΔABC, AB=BC=6cm. If A Circle Is Drawn With Center At B ...

Δ A B C a n d Δ E B D

\frac{B E}{B A} = \frac{B D}{B C} = \frac{2}{6} = \frac{1}{3} a n d ∠ D B E = ∠ A B C

.
By SAS similarity,

Δ A B C

and

Δ E B D

are similar.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).....and BC = 6 cm. Then, choose the correct option(s).

Question 2. In the given figure, △ABC∼△PQR. Then, area of △ ABCarea of △ PQR equals ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers