Answer: 28 yards
To find the answer to this question, you need to find the perimeter of the triangle, represented by the equation:
P = a + b + c
Unfortunately, you are missing one side of this triangle. The Pythagorean Theorem will help you find this missing side:
Pythagorean Theorem: a² + b² = c²
- a= the shortest leg of the triangle [21]
- b = the longest leg of the triangle [28]
- c = the hypothenuse (slanted side of a right triangle) [unknown]
Let's plug into the equation and solve:
a² + b² = c²
21² + 28² = c²
441 + 784 = c²
1225 = c²
√1225 = c
35 ft = c
Now that you have the length of your missing side, add them together to get your perimeter:
21 + 28 + 35 = 84 ft
Convert ft to yards and you will come to your final answer of 28 yards