How to Master the Pythagorean Theorem and Right Triangles
45-45-90 triangle: This is an isosceles right triangle where the two legs are congruent, and the hypotenuse is \(\sqrt{2}\) times the length of one leg. 30-60-90 triangle: In this triangle, the sides are in the ratio of \(1: \sqrt{3}: 2\), with the smallest side opposite the \(30^\circ\) angle and the longest side being the hypotenuse. […]
How to Use Pythagorean Theorem Converse: Is This a Right Triangle?
TL;DR: The converse of the Pythagorean theorem lets you test whether a triangle is a right triangle. If the three side lengths satisfy \(a^2 + b^2 = c^2\) (with \(c\) the longest), it’s a right triangle. If not, it’s acute (\(\)). Key takeaways: Pythagorean theorem: in a right triangle, \(a^2 + b^2 = c^2\) (with […]
