-2 legs -1 right angle -hypotenuse

-not connected to the right angle -always the longest side

in a right triangle, the sum of the squares of the length of the legs is equal to the square of the length of the hypotenuse a²+b²=c²

converse of the pythagoren theorm

in a triangle, if the sum of the squares of the two shorest sides is equal to the square of the longest side, the triangle is a right triangle

every word probelm needs a digram with the sides labeled and the snwer in a complete sentence

Radicals can only be added or subtracted if

they are like radicals (the inside of the radical is the same)

to add or subract radicals, one must

add or subract the "coeficients" but keep the radical part the same -simplify further if possible -Simplifying first is an option

radicals can only be multiplied or dividing if

-HAHAHH like radicals are not nesecary all radicals can be multiplied or divided

to multiply or divide radicals, one must

1. multiply outer parts 2. multiply inner parts 3. simplify (you can do it first too)

when multiplying with radical binomials,

use distributive property or the box method simplify the expressions in the box BEFORE collecting like terms

methods for solving radicals with fractions

1. cancle out 2. rationalizing the denominator

rationalizing the denominator

multiply both the numerator and the denominator by the radical prtion found in the denominator

if the demoninator has a radical binomial...

use the conjugate to rationalize the denominator

the sum and difference of the same two terms

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Pythagoream Theorm

Question	Answer
right triangles have	-2 legs -1 right angle -hypotenuse
hypotenuse	-not connected to the right angle -always the longest side
Pythagorean theorm	in a right triangle, the sum of the squares of the length of the legs is equal to the square of the length of the hypotenuse a²+b²=c²
converse of the pythagoren theorm	in a triangle, if the sum of the squares of the two shorest sides is equal to the square of the longest side, the triangle is a right triangle
notes	every word probelm needs a digram with the sides labeled and the snwer in a complete sentence
Radicals can only be added or subtracted if	they are like radicals (the inside of the radical is the same)
to add or subract radicals, one must	add or subract the "coeficients" but keep the radical part the same -simplify further if possible -Simplifying first is an option
radicals can only be multiplied or dividing if	-HAHAHH like radicals are not nesecary all radicals can be multiplied or divided
to multiply or divide radicals, one must	1. multiply outer parts 2. multiply inner parts 3. simplify (you can do it first too)
when multiplying with radical binomials,	use distributive property or the box method simplify the expressions in the box BEFORE collecting like terms
radicals can never be	in the denominator
methods for solving radicals with fractions	1. cancle out 2. rationalizing the denominator
rationalizing the denominator	multiply both the numerator and the denominator by the radical prtion found in the denominator
if the demoninator has a radical binomial...	use the conjugate to rationalize the denominator
conjugate	the sum and difference of the same two terms

Created by: Blessed Rectangle

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