Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5

Q.

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the possible length range for the third side? 

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

12 < x < 17 

b

12 < x < 29

c

5 < x < 17

d

5 < x < 29

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

detailed_solution_thumbnail

Concept: Because the lengths of any two sides of a triangle must add up to more than the length of the third side.

Given that the two sides of the triangle are 12cm and 17cm.

As a result, the third side must be less than 12+17=29cm.

Furthermore, the third side cannot be less than the difference between the first two sides.

So, the third side must be greater than 17-12=15cm.

As a result, the length of the third side should be greater than 5 cm but less than 29 cm.

So possible range = 5 < x< 29


 

Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon