Mrs. Davidson is teaching a 5th grade class. She is standing 48 feet in front of Devon. Tina is sitting to Devon's right. If Tina and Mrs. Davidson are 52 feet apart, how far apart are Devon and Tina?(Pythagorean theorem)
To solve this problem using the Pythagorean theorem, we need to set up a right triangle with Mrs. Davidson, Devon, and Tina as the vertices. The distance between Mrs. Davidson and Tina is the hypotenuse of the triangle, while the distance between Mrs. Davidson and Devon is one of the legs. The distance between Devon and Tina will be the other leg of the triangle.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
Where:
a = distance between Mrs. Davidson and Devon = 48 feet
b = distance between Devon and Tina (what we want to find)
c = distance between Mrs. Davidson and Tina = 52 feet
Substitute the values into the formula:
48^2 + b^2 = 52^2
2304 + b^2 = 2704
b^2 = 2704 - 2304
b^2 = 400
b = √400
b = 20
Therefore, Devon and Tina are 20 feet apart.