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

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 9 = 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= 5 + 5 + 5 + 5 or P = 4 x 5 P = 20m A = l x w A= 5 x 5 A = 25m2 P = 5 + 12 + 13 P = 30m A = b x h --- 2 A = 12 x 5 --- 2 A = 60 --- 2 A = 30m2

Measurement – Pythagorean Theorem Pythagoras (580-500 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