A square photo frame has a diagonal of 20 cm what is the side length of a photo frame to the nearest 10th of a centimeter
To find the side length of the square photo frame, we can use the Pythagorean theorem. The formula for the Pythagorean theorem is:
a^2 + b^2 = c^2
where "a" and "b" are the sides of the right triangle and "c" is the hypotenuse (diagonal in this case).
In this case, we know that the diagonal of the square photo frame is 20 cm. Let's assume the side length of the square photo frame is "x" cm.
Using the Pythagorean theorem, we can write the equation as:
x^2 + x^2 = 20^2
Simplifying this equation, we get:
2x^2 = 400
Dividing by 2 on both sides, we get:
x^2 = 200
To solve for "x", we take the square root of both sides:
x = √200
Now, we can simplify the square root:
x = √(100 * 2)
x = 10√2
So, the side length of the square photo frame is approximately 10√2 cm.