Darla is building a new desk. To make sure she had made a square corner, she measures 10ft from the corner along one edge and 7ft from the corner along the other edge. How long should the diagonal be betwee those two points if the corner is a right angle?
Thank you
You want to use Pythagorean theory here. So a^2 + b^2 = c^2. a and b would be the 2 side length and then solve for c. Do you think you can take it from here? If you tell me what you got as a answer I can figure it out and let you know what I got.
You want to use Pythagorean theory here. So a^2 + b^2 = c^2. a and b would be the 2 side length and then solve for c. Do you think you can take it from here? If you tell me what you got as a answer I can figure it out and let you know what I got.
To be honest with you, I don't know how to do any of this; however, what i do is figure out the answer and how it was solved once i have everything on the table. I look at the answer and the steps that were made to teach myself. I really appreciate your help in this. Thank you.
Ok so what you would do in this scenario is fill in the sides for a and b.
10^2 + 7^2 = c^2
( c is the diagonal AKA the hypotenuse)
100 + 49 = c^2
149 = c^2
sq root of 149 = c
12.21 = c
(this # is rounded)
But that's what your diagonal should be.
To find the length of the diagonal, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the two sides are 10ft and 7ft, and we need to find the length of the diagonal (the hypotenuse).
Using the Pythagorean theorem, we have:
diagonal^2 = 10^2 + 7^2
diagonal^2 = 100 + 49
diagonal^2 = 149
Taking the square root of both sides to solve for the diagonal, we get:
diagonal = √149
Using a calculator, we find that √149 is approximately 12.206.
Therefore, the length of the diagonal should be approximately 12.206ft.