Darla is buildig a new desk. To make sure she made a square corner, she measures 3ft. from the corner along one edge and 4ft. from the corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle?
round to nearest thousand.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
5 = c
To find the length of the diagonal between the two points, you can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the length of one side of the right angle is 3ft, and the length of the other side is 4ft. Let's label the diagonal as "d".
We can set up the following equation using the Pythagorean theorem:
d^2 = 3^2 + 4^2
Simplifying this equation:
d^2 = 9 + 16
d^2 = 25
To solve for d, we take the square root of both sides:
d = √25
Taking the square root of 25, the result is 5.
Therefore, the length of the diagonal should be 5ft.
Rounding to the nearest thousandth is not applicable in this case since we are dealing with whole numbers.