Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

In a ΔABC, which of the given condition holds?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

AB + BC < CA

b

AB − BC < CA

c

AB + CA < BC

d

AB − BC > CA

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

detailed_solution_thumbnail

We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Question Image

So, in ΔABC,

AC + AB > BC

AC + BC > AB

AB + BC > AC

We also know that the difference between the length of any two sides of a triangle is smaller than the length of the third side.

So, in ΔABC,

AC − AB < BC

AC − BC < AB

AB − BC < AC

Hence, from the given options, AB − BC < CA is the correct alternative.

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring