Pythagorean Theorem
12
Find b: a=5 b=? c=13
The side opposite the right angle
Hypotenuse
c, and the longest side of a right triangle
Hypotenuse
No
Is this a right triangle: a=4, b=6, c=9
yes
Is this a right triangle: a=5 b=12 c=13
labeled a and b, the other two sides of the right triangle
Leg
Sides that are adjacent (same vertex, share a common side) the right angle. There are two.
Legs
Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians.
Pythagoras
the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagorean Theorem
A right triangle (with a 90 degree angle) is composed of two legs and a hypotenuse (side opposite the right angle).
Pythagorean Theorem Definition
A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse.
Right Triangle
a triangle where one angle is guaranteed to be 90 degrees.
Right Triangle
12
Which side length would be considered c? 9,12,10
yes
Would these three sides form a right angle 8, 15, 17
5
a=3 b=4 c=?
10
a=6 b=8 c=?
25
a=7 b=24 c=?
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
hypotenuse
Math operations that reverse the effect of each other.
inverse operations
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
leg
A square with a whole number root.
perfect square
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
pythagorean theorem
An angle of exactly 90 degrees.
right angle
A triangle that contains a right angle.
right triangle
The result of multiplying a number by itself.
square
