(acute, right, obtuse) and by sides (equilateral, isosceles, scalene).Īlso has triangle area formulas and a triangle area calculator.
#SPECIAL RIGHT TRIANGLES CALCULATOR HOW TO#
Part 3 explains how to calculate all 3 altitudes (heights) and all 3 angles of a triangle when you know all 3 sides.Įxplains calculating the relative lengths of the sides.Ī graphic showing all 4 quadrants and which of the 6 trigonometric functions are either positive or negative in each quadrant.Ī chart showing triangles classified by angles For example, if we know only the right triangle area and the length of the leg a, we can derive the equation for other sides: b 2 area / a c (a + (2 area. Parts 2 and 3 explain solving triangles when you know all 3 sides 2 sides and an included angle 2 sides and a non-included angle 2 angles and an included side A right triangle is a special case of a scalene triangle, in which one leg is the height when the second leg is the base, so the equation gets simplified to: area a b / 2. Solving Oblique Triangles Without Using the Law of Sines and Cosines Solving Oblique Triangles by Using the Law of Sines and Cosines Trigonometric Identities Tables of identities such as sin² (θ) + cos² (θ) = 1 sin (θ) = cos (90° -θ) tan (θ) = sin (θ) ÷ cos (θ) and so on.Ī brief review of the basics of trigonometry. Explains and calculates how to determine a road grade, the pitch of a roof, etc. If you need to know the cosecant of 1.37 radians, this is the calculator for you. Knowing all 3 angles, it will calculate the relative lengths of all 3 sides.Ĭlick here for the special case of side-side-angle.Ĭalculator for these 2 types of special right triangles.Ĭalculates all 6 trigonometry functions and all 6 arcfunctions. This activity builds on the concepts of similar right triangles that students studied yesterday. They then analyze a variety of side length ratios to make a conclusion that is true for all special right triangles of that size. Included angle or 2 angles and an included side. For example, students derive the 45-45-90 special right triangle by cutting a rectangle in half diagonally. This solves for ANY type of triangle as long as you know all 3 sides, 2 sides and an Solves for any right triangle if you know two sides. Solves for any right triangle if you know one angle and the length of any side. A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. Definitions and how to convert one to the other.Ĭonverts degrees, radians, revs, grads, mils, seconds and minutes.