## Tuesday, January 5, 2010

### Question 15

HAPPY NEW YEAR!

Here is question 15:

HOW LONG IS THE LINE?

To find the answer, we have to use the Pythagorean relationship. From looking at the graph we can tell that the legs, (green) have lengths of 2cm and 4cm. We have to find the length of the hypotenuse, (red). Our formula is: a squared + b squared = c squared.

a squared + b squared = c squared

2cm squared + 4cm squared = c squared

(2cm x 2cm) + (4cm x4cm) = c squared

4cm + 16cm = c squared

20cm= c squared

By doing this we have figured out the area of the hypothetical square attached to the hypotenuse. Now we have to find the square root of that number to find the length of the hypotenuse.

the square root of 20= 4.4 (approx.)

The length of the line is approximately 4.4cm.

~Laura~

#### 1 comment:

1. haha good job laura atleast you put in information to your post you could be wrong or right cause when I calculated it could have been 2.4 or the number 3 but we'll see the answer and good post