Question

Two side lengths of a triangle measure 8

cm and 15 cm. Select all measurements that could be the length of the third
side of the triangle.
A) 23 cm
B) 7 cm
C) 8 cm
D 30 cm
E) 16 cm
F) 20 cm
G) 12 cm
H) 15 cm

Answer 1

Correct option is C)

⇒ The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒ The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒ So from the given options 6cm is less than

11cm and greater than 3cm

∴ The length of the third side of triangle is 6cm

Explanation: