Question

The width of Aubrey's bed is 40 inches and the distance between opposite corners is 85 inches. What is the length of Aubrey's bed?

Answer 1

Answer: 75

Step-by-step explanation: We can think of Aubrey’s bed as a triangle, Since the area doesn't matter. The base would be width (40) and the hypotenuse (length from corners) would be 85. So, since A^2+B^2=C^2 and c is 85 and a is 40. The equation is 40^2+?^2=85^2 so if we solve the numbers whit exponents we would get this: 1600+?=7225. Then we would just subtract 1600 from 7225 which is: 5625. Now we are not done. 5625 is just the square version of 5625. So we would need to find the square root. Which is 75.

Answer 2

Answer: 75 inches

Explanation:

Using Pythagorean's Theorem, a² + b² = c², let a represent the length of the bed.

a² + 40² = 85²

a² + 1600 = 7225

a² = 5625

a = 75

The length of the bed is 75 inches.

Hope this helps!