Question

Which lengths could be the sides KLM of the triangle, respectively?

A) 14 cm, 4 cm, 19 cm
B) 10 cm, 7 cm, 16 cm
C) 10 cm, 6 cm, 16 cm
D) 14 cm, 3 cm, 19 cm


2)
Which lengths could be the sides LKM of the triangle, respectively?
A) 6 cm, 15 cm, 23 cm
B) 5 cm, 9 cm, 13 cm
C) 5 cm, 8 cm, 13 cm
D) 4 cm, 8 cm, 16 cm

Answer 1

Answer: First question Is # b

Second Answer Is #B

Hope this helps you :)

Explanation:

2.Using what is known as the "Triangle Inequality Theorem" a+b can not be less than c or else it is not a triangle. (A and B are the smallest sides of the triangle). A) 6cm + 15cm = 21cm which is less than 23cm: Not a triangle B) 5cm + 9cm = 14cm which is greater than 13cm: This makes a triangle and therefore the answer is B C) 5cm + 8cm = 13cm which is less than 13cm: Not a triangle