What is the diagonal of a 9 in x 12 in rectangle?
recall the Pythagorean Theorem.
d^2 = 9^2 + 12^2 = 81+144 = 225
do, d=15
Also, it helps to recall a few simple and commonly used right triangles. The most basic is
3-4-5
Your 9-12-15 triangle is just a 3-4-5 scaled up by a factor of 3.
Thanks!
To find the diagonal of a rectangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In a 9 in x 12 in rectangle, the two sides adjacent to the diagonal form a right triangle. So, we can use the Pythagorean theorem to find the length of the diagonal.
The length of one side of the rectangle is 9 inches, and the length of the other side is 12 inches.
Using the Pythagorean theorem, we have:
(diagonal)^2 = (side1)^2 + (side2)^2
(diagonal)^2 = 9^2 + 12^2
(diagonal)^2 = 81 + 144
(diagonal)^2 = 225
Taking the square root of both sides, we get:
diagonal = √225
diagonal = 15 inches
Therefore, the diagonal of the 9 in x 12 in rectangle is 15 inches.
To find the diagonal of a rectangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In a rectangle, the diagonal forms a right triangle with the sides of the rectangle. The length of the diagonal is the hypotenuse, and the lengths of the sides of the rectangle are the other two sides.
So, for a 9 in x 12 in rectangle, we can calculate the diagonal as follows:
1. Square the length of one side: 9 * 9 = 81.
2. Square the length of the other side: 12 * 12 = 144.
3. Add the two results together: 81 + 144 = 225.
4. Take the square root of the sum: √225 = 15.
Therefore, the diagonal of a 9 in x 12 in rectangle is 15 inches.