Kyla's Measurement Growing Post

Question #1: What is the pythagorean Theorem? You
should use words, pictures, symbols, and
numerical examples.

The Pythagorean Therom is named after the Greek matematician Pythagoras. The therom is:
All right angle triangles are labeled the same way. The side opposit the right angle is called the Hypotenuse and is always labelled "C". The second side is called the Altitude, which is labeled "A", and the Base is labeled "B".

Here is how you find the Hypotenuse of a right triangle (or the C side):

A2 + B2 = C2 (Write out the formula)

242 + 332 = C2 (plug the numbers in)

576 + 1089 = C2 (find out what it equles)

1665= C2 (add the numbers together)

square root of 1665= square root of C2

40.80cm= C (your answer)

Here is how to find the Altitude of the right triangle:

A2 + B2 = C2(write out the formula)

A2 + 142 = 172 (insert the numbers in)

A2 + 198 = 289 (find out what they equle)

A2= 289 - 198 (icolate the variable)

A2= 91 (subtract)

square root of A2 = square root of 91

A= 9.54 m (final answer)

Question #2: How do you find the surface area of a right
rectangular prism? You should use words, pictures,
symbols, and numerical examples.

To find the surface area of a right rectangle prism you simply do this formula:

SA = 2 (L x H) + 2 (H x W) + 2 (W x L)

L= length, W= width and H=height

Still don't understand? Here is an example:

The lengh of this right rectangular prism is 7m. The Width of this right rectangular prism is 3m and the Height of this right rectangular prism is 4m. If you are trying to solve this problem, here are the steps you should write:

SA= 2 (L x H) + 2 (H x W) + (W x L) (re write the formula)

SA= 2 (7 x 4) + 2 (4 x 3) + 2 (3 x 7) (insert the correct numbers)

SA= 2 (28) + 2 (12) + 2 (21) (find out what the product of the numbers in brackets is)

SA= 56 + 24 + 42 ( 2 x the number in brackets)

SA= 122 m2 (add the numbers up for the answer)

A right rectangular prism is a prism where the joining edges and faces are perpinduclar to the base faces.

Examples of rectangular prisms:

This is a filing cabinet

This is a TV

Question #3: How do you find the surface area of a right
cylinder? You should use words, pictures, symbols,
and numerical examples.

A right cylinder is a three-dimensional figure made up of the set of line segments parallel to a line through the 2 parallel planes and joining congruent curcular bases in the 2 planes. Here are some examples of cylinders in real life:

This is a can of tomato soup

This is a can of coke

This is a right cylinder net:

Here is how to find the surface area of a cylander:

SA= 2πr2 + 2πrh (write the formula for finding the surface area of a cylinder)

SA= 2 (3.14) (72) + 2(3.14) (7) (13) (insert the numbers from the cylinder)

SA= 2 (3.14) (49) + 2 (3.14) (91) (multiply the numbers)

SA= 6.28 (40) + 6.28 (91) (finish multiplying the numbers)

SA= 251.2 + 571. 48 (add the numbers together)

SA= 822.68 m2 (get your answer)

Question 4: What is a polygon and how do we classify one?

A polygon is a closed figure that has at least three sides. The lines that make up the polygon must be strait lines. There are two types of polygons: "Regular Polygons" and "Irregular Polygons". A regular polygon is where all sides are congruent and all interior angles are also congruent. Congurent means that they all are the same shape and size. A irregualr polygon is the oposit, the sides and angles are all not the same shape and size.