Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

if the diagonal BD of a quadrilateral ABCD bisect both angle b and d show that AB upon BC equals too AD upon CDA
Asked by kishan chaudhary | 06 Aug, 2012, 04:51: PM
answered-by-expert Expert Answer

given: diagonal BD bisects angle B and angle D

To prove: AB/BC= AD/CD

proof: in triangle ABD and triangle CBD

angle ABD= angle CBD (BD bisects angle B)

angle ADB= angle CDB (BD bisects angle D)

So, triangles ABD and CBD are similar, by AA similarity

Since, corresponding sides of similar traingles are proportional, we have:

AB/BC = AD/CD

Answered by | 06 Aug, 2012, 05:07: PM
CBSE 10 - Maths
Asked by kashinigam382 | 05 Jan, 2024, 04:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by suryapalsinghgoudmahirajbanna | 17 Sep, 2023, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by savitamahajan202 | 30 Dec, 2022, 12:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kumarjogesh746 | 28 Dec, 2022, 07:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhu.joshi54 | 04 Jul, 2022, 08:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ankitamityadav65 | 06 Apr, 2022, 02:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dishapalnati82 | 24 Nov, 2021, 09:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by psinghaladv | 05 Oct, 2021, 07:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×