Question

One side of the triangle is 4 cm, and the sum of the other two sides is equal to a

whole number of cm. What is the smallest possible perimeter of the triangle?
A. 9 cm
B. 10 cm
C. 11 cm
D. 15 cm
E. 17 cm

Answer 1

A 9cm is the answer of this problem

Answer 2

A) 9 cm

Explanation:

By the Triangle Inequality, any two sides of a triangle must be greater than the remaining side.

In order to minimize the perimeter, we will assume that 4 cm is the longest side.

Thus, the two remaining sides must be greater than 4.

Since we are given that the sum of the two remaining sides is a whole number, the smallest whole number value greater than 4 is 5.

Hence, the smallest perimeter possible 9 cm.

Our answer is A.