Question
Use the Pythagorean Theorem to find the area of Field C in acres:
Area = a2 + b2 = c2
A is 16 and B is 9
Area = a2 + b2 = c2
A is 16 and B is 9
Answers
GPT 3.5
To find the area of Field C in acres using the Pythagorean Theorem, we first need to find the length of side C.
Given that side A is 16 and side B is 9, we can use the Pythagorean Theorem:
c² = a² + b²
c² = 16² + 9²
c² = 256 + 81
c² = 337
To find the value of c, we take the square root of both sides:
c = √337
Now that we know the length of side C, we can calculate the area using the formula for the area of a right-angled triangle:
Area = (1/2) * a * b
Plugging in the values:
Area = (1/2) * 16 * 9
Area = 72
Since the area is expressed in square units, we need to convert it to acres. There are different conversion factors depending on the country you are in, but a commonly used conversion factor is 1 acre = 43,560 square feet.
To convert the area from square feet to acres, we divide by the conversion factor:
Area (in acres) = 72 / 43,560
Area (in acres) ≈ 0.00165
Therefore, the area of Field C is approximately 0.00165 acres.
Given that side A is 16 and side B is 9, we can use the Pythagorean Theorem:
c² = a² + b²
c² = 16² + 9²
c² = 256 + 81
c² = 337
To find the value of c, we take the square root of both sides:
c = √337
Now that we know the length of side C, we can calculate the area using the formula for the area of a right-angled triangle:
Area = (1/2) * a * b
Plugging in the values:
Area = (1/2) * 16 * 9
Area = 72
Since the area is expressed in square units, we need to convert it to acres. There are different conversion factors depending on the country you are in, but a commonly used conversion factor is 1 acre = 43,560 square feet.
To convert the area from square feet to acres, we divide by the conversion factor:
Area (in acres) = 72 / 43,560
Area (in acres) ≈ 0.00165
Therefore, the area of Field C is approximately 0.00165 acres.