November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Solving Right Triangles.

This section covers, how to solve problems related to sides of a right triangle using the Pythagorean Theorem. You will learn it with the help of some examples, practice questions with solution and watching video with explanation by the instructor in own handwriting.

With this theorem, if you are given the measures of two sides of a triangle, you can easily find the measure of the other side. E.g. if the lengths of the legs of a right triangle are*a*, *b* then the length of its hypotenuse *c* can be calculated by plugging in the given values of *a*, *b* in the formula *a*^{2}+ *b*^{2} = *c*^{2}. For example, to find the length of the hypotenuse *c*, if *a* = 6, and *b* = 8, write the Pythagorean Theorem and then plug in values of *a*, *b* i.e. *c*^{2} = 6^{2} + 8^{2} = 100. This works out to *c* = 10.

Let us look at special right triangles now i.e. 45-45-90 triangle and 30-60-90 triangle (such named because of the measures of their angles). The theorem that applies to these triangles is stated below:

This section covers, how to solve problems related to sides of a right triangle using the Pythagorean Theorem. You will learn it with the help of some examples, practice questions with solution and watching video with explanation by the instructor in own handwriting.

With this theorem, if you are given the measures of two sides of a triangle, you can easily find the measure of the other side. E.g. if the lengths of the legs of a right triangle are

Let us look at special right triangles now i.e. 45-45-90 triangle and 30-60-90 triangle (such named because of the measures of their angles). The theorem that applies to these triangles is stated below:

- In a 45-45-90 triangle, the measure of the hypotenuse is equal to the measure of a leg multiplied by ?2.
- In a 30-60-90 triangle, the measure of the hypotenuse is two times that of the leg opposite the 30° angle. The measure of the other leg is ?3 times that of the leg opposite the 30° angle.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

- Mathematics > General
- Mathematics > Geometry
- Education > General

- Grade 9
- Grade 10
- Grade 11
- Grade 12