## Friday, January 20, 2012

### Tinille's Square Root Scribe Post

* Dont forget to put the unit measure and the exponent (2) *

Text Book Answers for #10, #17 and #18
( pg. 98 to 100 )

#10 Question:

Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can covers 27 m² of wall surface. Estimate this backdrop's side length, to one decimal place.

#17 Question:

Carmel wants to mount an 18 cm x 18 cm square picture on a square board that is four times the area of the picture.

Steps:

A.) To get the area of the picture, you have to multiply 18 cm x 18 cm and you'll get 324 cm2.

B.) To get the area of the board, you have to multiply the area of the book, which is 324 cm2 to 4 so, 324 cm2 multiply 4 because it says that the area of the picture is 4 times of the area of the board so the answer is 1296 cm2.

C.) To get the dimension of the board or the side length of the board you have to find the square root of 1296 cm2 which is 36 cm. To find the the square root of 1296 use the square root sign in your calculator and type in 1296 then you'll exactly get 36 cm.

#18 Question: Extend Question.

Steps:

A.) An easy way of finding the square root of 9 is to do the prime factorization method and when a number is multiplied by itself it means its squared.

B.) To get the square root of 3, you have to find the 2 closest perfect square to 3 which is 1 and 4. Then find the half way between. Then, think which of the 2 closest perfect square is really close to 3 which is 4 but, 3 comes before 4 so the answer should be 1 and something.

C.) to get the square root of 3, use the square root sign in your calculator and type 3. Then after press the equal sign. I am sure that you'll get 1.732050808 but, you have to round it to the nearest tenths so it would be 1.7 .

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Pythagorean Relationship

1.) Explain "Pythagorean Relationship".

The variable "a" and "b" represents the 2 legs of a right triangle. "C", furthermore represents the "longest side" of a right triangle or also known as the "hypotenuse".
A "pythagorean relationship" is a relationship in which we're finding the length of each side of a right triangle and in which we're finding the area of the right triangle. In addition, "pythagorean relationship" helps you to show or to prove if a triangle is a "right" triangle. You'll know if a triangle is a "right" triangle when the variable "a" and "b" adds up the answer for the variable "c" or the "hypotenuse".

2.) Solve the missing side length.

3.) Is this a right triangle? PROVE IT!!!!