Many of us have trouble with math and it takes us a little more effort to get the trick and be able to solve math problems. The level of difficulty increases while we find ourselves with a lower level of basic education, which is why analyzing solved exercises can help us a lot. This is the case with the Pythagorean Theorem which, being related to exponents, can be a little difficult to understand. Luckily, there are solved Pythagorean Theorem exercises, and thanks to them we will be able to better understand the importance and most of all the application of this important mathematical theorem.

To solve the exercises, it’s important to know the formula of the Pythagorean Theorem:

(hypotenuse)^2 = (leg a)^2 + (leg b)^2

Where:

Hypotenuse: Represents the length of the longest side of the triangle.

Leg a and leg b: Each of the legs which, when they intersect, form the 90° angle characteristic of right triangles.

Pythagorean Theorem exercises

Exercise 1:

Find the length of the hypotenuse belonging to a right triangle with legs measuring 3 and 4 units, respectively.

As we’ll see below, solving this Pythagorean Theorem exercise is pretty simple since it is one of the basic problems to learn and take our first steps dealing with right triangles.

Exercise 2:

In the previous exercise, we used the Pythagorean Theorem to calculate the value of the hypotenuse. We will use the same formula in a similar way to find the value of one of the legs of a right triangle, given that the other leg is 5 cm long and the hypotenuse measures 13 cm.