Give me an example of a Pythagorean theorem equation and tell me how yo solve it

Answer 1

One example of a Pythagorean theorem equation is:

a^2 + b^2 = c^2

Let's say we have a right-angled triangle with the lengths of the sides as follows:

Side a = 3 units
Side b = 4 units
Hypotenuse c = ?

To solve for the hypotenuse, we substitute the given values into the Pythagorean theorem equation:

(3)^2 + (4)^2 = c^2
9 + 16 = c^2
25 = c^2

Taking the square root of both sides gives us:

√25 = √c^2
5 = c

Therefore, the hypotenuse of the triangle is 5 units.