Right Angled Triangle
Right angled triangle equations.
A right triangle - or a right angled triangle - is a triangle in which one of the angles is a right angle - a 90 degree angle.
The length of the hypotenuse of aright triangle can be calculated as
c = (a2 + b2)1/2 (1)
The other sides can be calculated as
a = (c2 - b2)1/2 (2)
b = (c2 - a2)1/2 (3)
The angle θ can be calculated as
θ = atan b/a
= arctan b/a
= tan-1 b/a (4)
Example - Right Triangle
The length of the hypotenuse where a = 1.7 m and b = 1 m can be calculated as
c = ((1.7 m)2 + (1 m)2)1/2
= 1.97 m
The angle θ can be calculated as
θ = atan ((1 m) / (1 m))
= 30.5o
Related Topics
-
Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
-
Angle Calculator - Carpenter's Square
Calculate angles with a straight board across carpenter's square. -
Center of Gravity
A body and the center of gravity. -
Centroids of Plane Areas
The controid of square, rectangle, circle, semi-circle and right-angled triangle. -
Geometric Shapes - Areas
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids .. -
Law of Cosines
One side of a triangle when the opposite angle and two sides are known. -
Law of Sines
Calculate the angles in a generic triangle. -
Law of Tangents
Triangles and law of tangents. -
Miter Saw - Calculate Sawing Angle
Calculate miter saw protractor angles for skirting and decorative mouldings work. -
Oblique Triangle
Calculate oblique triangles. -
Pythagorean Theorem
Verifying square corners. -
Regular Polygons
Areas of regular polygons - polygons with 3 to 12 sides. -
Triangle
Triangle analytical geometry. -
Trigonometric Functions
Sine, cosine and tangent - the natural trigonometric functions. -
Vector Addition
Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more.
