How do you find the length of the diagonal of a rectangle whose length is 6 meters and whose width is 4 meters in simple radical form?
1 Answer
The length of the diagonal is
Explanation:
The diagonal of a rectangle plus two adjacent sides make a triangle. That "diagonal" is the same as the hypotenuse in a right triangle. Since we have the length and width and want the hypotenuse, we can use the Pythagorean Theorem shown below to solve it:
Following this image, we know that
Simplify the left hand side:
Take the square root of both sides:
#c = sqrt(4 * 13)
The length of the diagonal is
Hope this helps!
