Question

The two sides of a triangle are 1 1/6 AND 1 1/3

inches. The perimeter of the triangle is 4 1/6

​ inches. What is the measure of the third side of the triangle?

AND SHOW YOUR ANSWER

A 1 1/2


B. 1 3/4


C. 1 1/3


D. 1 2/3

Answer 1

Therefore, the measure of the third side of the triangle is 1/2 inches.

Explanation:

To find the measure of the third side of the triangle, we can subtract the sum of the two given sides from the perimeter of the triangle.

Given:

Side 1 = 1 1/6 inches

Side 2 = 1 1/3 inches

Perimeter = 4 1/6 inches

To make calculations easier, let's convert all the measurements to fractions.

Side 1 = 7/6 inches

Side 2 = 4/3 inches

Perimeter = 25/6 inches

Now, we can subtract the sum of Side 1 and Side 2 from the perimeter to find the measure of the third side:

Third side = Perimeter - (Side 1 + Side 2)

Third side = (25/6) - (7/6 + 4/3)

Third side = (25/6) - (14/6 + 8/6)

Third side = (25/6) - (22/6)

Third side = (25 - 22)/6

Third side = 3/6

Third side simplified = 1/2 inches