Basic Geometry : How to find the length of the diagonal of a rectangle
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Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
A rectangle has a length of 12 in and a width of 5 in. What is the diagonal of the rectangle?
To find the diagonal we use the Pythagorean Theorem:
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
One side of a rectangle is 7 inches and another is 9 inches. How many inches long is the rectangle's diagonal?
You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
Find the length of the diagonal.
The rectangle can be cut into two equal right triangles, where the hypotenuse of both is the rectangle's diagonal.
Use the Pythagorean Theorem to find the hypotenuse:
Example Question #2 : How To Find The Length Of The Diagonal Of A Rectangle
A standard high school basketball court is 84 feet long and 50 feet wide. During practice, Coach K has Kyrie run from one the right corner on one end of the court to the left corner at the other end of the court. To the nearest foot, how far did Kyrie run?
A picture helps greatly with this problem, so we begin with a rectangular basketball court.
We note that the distance run by Kyrie (drawn in red) is the diagonal of our rectangle, which we will call 
Taking the square root gives us
Rounding to the nearest foot gives an answer of 98.
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
A rectangle has a height of 
1. Use Pythagorean Theorem with 
2. Solve for 
This rounds down to 
Example Question #4 : How To Find The Length Of The Diagonal Of A Rectangle
The sides of rectangle ABCD are 4 in and 13 in.
How long is the diagonal of rectangle ABCD?
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem:
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
Find the length of the diagonal of a rectangle that has a length of 
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Example Question #5 : How To Find The Length Of The Diagonal Of A Rectangle
Find the length of the diagonal of a rectangle that has a length of 
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Example Question #3 : How To Find The Length Of The Diagonal Of A Rectangle
Find the length of the diagonal of a rectangle that has a length of 
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
Find the length of the diagonal of a rectangle that has a length of 
The diagonal of a rectangle is also the hypotenuse of a right triangle that has the length and the width of the rectangle as its legs.
We can then use the Pythgorean Theorem to find the diagonal.
For the given rectangle,
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