Right Triangle Properties
A right triangle has one $$ 90^{\circ} $$ angle ($$ \angle $$ B in the picture on the left) and a variety of oftenstudied formulas such as:
SOHCAHTOA only applies to right triangles (more here ) .
Picture 2
A Right Triangle's Hypotenuse
The hypotenuse is the largest side in a right triangle and is always opposite the right angle.
(Only right triangles have a hypotenuse ). The other two sides of the triangle, AC and CB are referred to as the 'legs'.
In the triangle above, the hypotenuse is the side AB which is opposite the right angle, $$ \angle C $$.
Hypotenuse Calculator
Online tool calculates the hypotenuse (or a leg) using the Pythagorean theorem.
(Also draws a free downloadable picture of your right Triangle!) .
Below are several practice problems involving the Pythagorean theorem, you can also get more detailed lesson on how to use the Pythagorean theorem here .
Problem 1
Problem 2
Set up the Pythagorean Theorem :
14^{2} + 48^{2} = x^{2}
2,500 = X^{2}
$$
x = \sqrt{2500} = 50
$$
Problem 3
$$
x^2 = 21^2 + 72^2
\\
x^2= 5625
\\
x = \sqrt{5625}
\\
x =75
$$
Problem 4
Problem 5
x^{2} + 4^{2} = 5^{2}
x^{2} + 16 = 25
x^{2} = 25  16 = 9
x = 3
Right Triangle Calculator

Online tool to find measure of sides and angles of a right triangle. Also draws a downloadable picture of triangle based on your input.