Pythagorean Theorem

User:

Monomials	Polynomials	Special products	Equations	Quadratic equations
Radical expressions	Systems of equations	Sequences and series	Inner product	Exponential equations
Matrices	Determinants	Inverse of a matrix	Logarithmic equations	Systems of 3 variables equations

Graphs	Definition of slope	Positive or negative slope	Determine slope of a line	Ecuación de una recta	Equation of a line (from graph)
Quadratic function	Posición relativa de dos rectas		Asymptotes	Limits	Distancias
	Continuity and discontinuities

Pythagorean Theorem	Sine	Cosine	Tangent	Cosecant	Secant	Cotangent	Trigonometric identities
Trigonometric functions of an acute angle	Trigonometric functions of related angles			Solving right triangles		Law of cosines	Law of sines

Factorial	Variations without repetition	Variations with repetition	Permutations with repetition	Permutations without repetition
Exercises	Circular permutations	Binomial coefficient	Combinations with repetition	Combinations without repetition

	Arithmetic mean

Pythagorean Theorem

Using the Pythagorean Theorem to find the hypotenuse

We can use the Pythagorean theorem to find the hypotenuse of a right angled triangle, but only if we know the length measure of the two legs.

Find x

c²=a²+b²
c²=8²+12²
c²=64+144
c²=208
$c=\sqrt{208}=4\sqrt{13}$

In a right triangle you know the legs are 20 and 15 units long.

Calculate the hypotenuse length

Solution: