Could someone please look at this? I think the answer is 26 for the length of KL because KL=2(13). Is this right?

Printable View

- June 25th 2007, 09:45 PMsanee66length of a side in a rectangle
Could someone please look at this? I think the answer is 26 for the length of KL because KL=2(13). Is this right?

- June 25th 2007, 10:02 PMJhevon
Why would you assume KL = 2(13)? :confused:

See the slightly modified diagram below.

MJKN is a square, so the diagonal bisects the angles at the corners. so we have 45 degree angles in the positions shown

Remember, and

Now,

Now note that JK = MN = IL

By Pythagoras' Theorem:

- June 25th 2007, 10:17 PMSoroban
Hello, sanee66!

Sorry, your answer makes no sense . . .

Quote:

In square , diagonal measures

and in rectangle , diagonal measures .

What is the length of IJ (or KL)?Code:`I J M`

* - - - - - - - - - - - * - - - - - *

| * | __ * |

| * 13 | √50 * |

x | * | * | x

| * | * |

| * | * |

* - - - - - - - - - - - * - - - - - *

L y K x N

The sides of the square have length .

From Pythagorus, we have: .

Hence: .

In right triangle , we have: .

From Pythagorus, we have: .

Therefore: .