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. […]
Understanding Triangles: A Comprehensive Guide to Their Classification and Properties
Equilateral Triangle: All three sides are of equal length. All three angles measure \(60^\circ\). Two sides are of equal length. The angles opposite these equal sides are also equal. No sides are of equal length. None of the angles is equal. Acute Triangle: All three angles are less than \(90^\circ\). One angle measures exactly \(90^\circ\). […]
