Q. Leah's rectangular bedroom is 12 feet by 9 feet. What is the diagonal distance from one corner to the opposite corner?____ feet
Identify dimensions: Step 1: Identify the dimensions of the bedroom.Leah's bedroom is 12 feet long and 9 feet wide. We need to find the diagonal, which acts as the hypotenuse in a right triangle formed by the length and width.
Apply Pythagorean Theorem: Step 2: Apply the Pythagorean Theorem.Using the formula a2+b2=c2, where a and b are the legs and c is the hypotenuse:122+92=c2
Calculate squares: Step 3: Calculate the squares of the legs.122=14492=81Adding these gives 144+81=225
Solve for hypotenuse: Step 4: Solve for the hypotenuse c.c2=225Taking the square root of both sides, c=225c=15
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