Answer:
58 ft
Step-by-step explanation:
Picture shows a right triangle, the perimeter of a triangle is the sum of ts sides.
In a right triangle we apply Pitagoras Theorem, that is:
c² = a² + b²
where c is hypotenuse ( opposite side to the right angle )
a and b are legs, then we know hypotenuse c = 23 ft and one leg let say a = 14 ft, then we can calculate the length of the other leg according to:
c² = a² + b² ⇒ b² = c² - a²
b = √( c² - a²) ⇒ b = √(23)² - (14)²
b = √529 - 196 ⇒ b = √333
b = 18,25 ft
Perimeter is:
P = a + b + c ⇒ P = 23 + 18,25 + 14
P = 55,25 ft
Mary need at least 58 ft of fencing material
