Question

If three sides are given as follows, in which case / cases is it possible to draw a triangle?

A) 6 cm, 8 cm, and 16 cm
B) 6 cm, 8 cm, and 10 cm
C) 6 cm, 7 cm, and 14 cm
D) 6 cm, 7 cm, and 20 cm

Answer 1

I think B)

Explanation:

I tried to build a right triangle by using Pythagora's theorem:

where:
`c^2=a^2+b^2`
option B) gives you:
`10^2=6^2+8^2`
`100=36+64`
that is indeed the same!

Answer 2

Answer is B

Explanation:

To form a triangle using three given lengths,

one should check that

the sum of smaller two sides is greater than the largest side.

Among te given cases

A) 6 cm, 8 cm, and 16 cm

B) 6 cm, 8 cm, and 10 cm

C) 6 cm, 7 cm, and 14 cm

D) 6 cm, 7 cm, and 20 cm

this is so only in case B.

Hence, we can form a triangle only with sides given at B.