1. Measurement – Pythagorean Theorem
Classify Triangles
Triangles can be classified by their sides or their angles.
equilateral triangle isosceles triangle scalene triangle
three equal sides - two equal sides - no equal sides
acute triangle right triangle obtuse triangle
- three acute angles - one right angle - one obtuse angle

2. Measurement – Pythagorean Theorem
Squares and Square Roots
The square of a number is calculated by multiplying the number by itself.
The square of 3 is 32. Its value is 3x3 or 9. Reversing the process, the square root of 9 is 3. This is written as = 3.
Perimeter and Area of a Square and of a Triangle
The perimeter of a shape is the distance around the outside. The area is the number of square units of space covered.
P= or P = 4 x 5
P = 20m
A = l x w A= 5 x 5
A = 25m2
P =
P = 30m
A = b x h A = 12 x
A = A = 30m2

3. Measurement – Pythagorean Theorem
Pythagoras ( B.C.E.) was the leader of a group of people called the Pythagoreans. They believed that patterns in whole numbers could be used to explain the universe. They searched to find patterns in geometry, astronomy and music.
Pythagoreans used stringed instruments, looking for ratios of lengths that would produce pleasing sounds. The chord is a combination of three or more notes.
hypotenuse
A right triangle has one right angle. The side opposite the right angle is called the hypotenuse. The other two sides are called the legs.
legs
legs