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Math question on Pythagoream theoram?

)A square flower garden is being designed for the community park. The diagonal distance from one corner to another is to be 15 feet. What is the length of each side of the square? Round the answer to the nearest tenth of a foot. 10.6 feet 7.5 feet 12.8 feet 21.2 feet

Public Comments

1. 2x^2 = 15^2 x^2 = 112.5 x = 10.6
2. 10.6 if you draw a square and draw diagonal line from one corner to another (opposite) then draw another diagonal from another corner to its oposite = you'll have four right angle triangles whose legs will be 7.5 ft, (half of diameter) then use pytagorean thm to solve for it's hypotenuse which is actually a side of a triangle (7.5)^2+(7.5)^2 = 112.5, take a sqrt of it a side of a square equals 10.6 or simplier a^2+b^2=15^2 since it's a square a=b so 2a^2 = 15^2 solve for x, you'll get the same answer
3. 2s^2=15^2--->2s^2=225--->s^2=112.5--->s=(about)10.6
4. Remember the Pythagorean theorem involves right triangles. The distance between the two corners of the square garden forms the hypotenuse of a right triangle. That right triangle's legs are both equal in length. So, the pythagorean theorem is usually: a^2 + b^2 = c^2 But since the legs of the triangle are equal, a and b are the same. And the hypotenuse is 15 feet. So you could write it like this: a^2 + a^2 = 15^2 that reduces like this: 2a^2 = 225 Then you can solve for a. "a" is the length of one of the sides of the triangle, or the square garden. Divide by 2, since division is the opposite of multiplying by 2 here. a^2 = 112.5 Get rid of the exponent, 2. To do that, you do the opposite operation - a square root. a equals about 10.6.