PYTHAGOREAN THEOREM

The Pythagorean Theorem states that, in a right triangle, the two smaller squares made from the triangles legs add up to equal the biggest square made from the hypotenuse.

The lengths of the legs are commonly labeled as a and b and the hypotenuse length is labeled as c.

REMEMBER:

HYPOTENUSE: c is the longest side of the triangle

LEGS: a and b are the other two sides

Click here  to find the missing hypotenuse , here  to find the missing leg, here  to find the perimeter, here  to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂

What is the Pythagorean Theorem?

In short the Pythagorean Theorem can be explain with the formula below.

a² + b² = c²

AGAIN, THIS IS ONLY TRUE FOR RIGHT TRIANGLES!

Here are other examples:

Click here  to find the missing hypotenuse , here  to find the missing leg, here  to find the perimeter, here  to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂

ANGLE and TRIANGLE RELATIONSHIPS

Degrees

A degree is a unit of measurement used to measure angles.

We can measure all Angles in Degrees.

There are 360 degrees in one Full Rotation (one
complete circle around

The Degree Symbol: °

We use a little circle ° following the number to mean degrees.

For example 90° means 90 degrees

Angles

In One Diagram This diagram might make it easier to remember: Also: Acute, Obtuse and Reflex are in alphabetical order.

Supplementary Angles

To view straight angles created from 2 parallel lines and a transversal click here.

Shape	Term	Definition
	perpendicular line segments	Two line segments which cross to form 90 degree angles.
	right angle	A 90 degree angle.
	equilateral triangle	A triangle with all sides equal and all angles equal.
	scalene triangle	A triangle having three unequal sides and angles.
	vertex	The intersection point of two sides of a plane figure.
	right triangle	A triangle with one internal angle equal to 90 degrees.
	pentagon	A polygon with 5 sides and 5 angles.
	square	A rectangle having all four sides of equal length.
	intersecting line segments	Line segments that cross each other.
	acute angle	An angle less than 90 degrees but greater than 0 degrees.
	chord	The line segment between two points on a given curve.
	radius	A straight line extending from the center of a circle or sphere to the circumference or surface.
	line segment	One part of a line.
	line	A continuous extent of length.
	point	A position in space.
	parallelogram	A quadrilateral having both pairs of opposite sides parallel to each other.(Note: squares and rectangles are also quadrilaterals.)
	rectangle	A parallelogram having four right angles.(Note: a square is also a rectangle.)
	rhombus	An equilateral parallelogram having oblique angles.
	parallel line segments	Line segments that do not intersect.
	quadrilateral	A polygon with four sides.(Note: squares, rectangles and trapezoids are also quadrilaterals.)
	octagon	A polygon having eight angles and eight sides.
	circle	A closed plane curve consisting of all points at a given distance from a point within it called the center.
	trapezoid	A quadrilateral plane figure having two parallel and two nonparallel sides.
	ray	The part of a straight line considered as originating at a point on the line and as extending in one direction from that point.
	closed curve	A curve that is continuous and has endpoints that meet at the same point.
	isosceles triangle	A triangle which has two sides equal.
	hexagon	A polygon having six sides and six angles.
	diameter	A straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end.
	obtuse angle	An angle greater than 90 degrees but less than 180 degrees.