The perimeter of a triangle is 16 to the square root of 7 feet. If the two sides measure the square root of 343 feet and the square root of 175, find the length of the third side as a radical in simplest form

Answer:the length of the third side is 4√7

Step-by-step explanation:

The perimeter of a triangle is 16 to the square root of 7 feet. This is expressed as

Perimeter = 16√7 feet

The perimeter of a triangle is the sum of the length of the three sides of the triangle.

If the two sides measure the square root of 343 feet and the square root of 175, which are expressed as √343 and √175, the third length would be

16√7 - (√343 + √175)

Expressing √343 as a radical, it becomes 7√7

Expressing √175 as a radical, it becomes 5√7

7√7 + 5√7 = 12√7

Therefore, the third length would be

16√7 - 12√7 = 4√7 feet