SOLUTION: Hello, I need help with the following math problem: Let A=(0,1), B=(2,5), C=(5,2), and D=(7,0). A figure is created by connecting {{{ A }}} to {{{ B }}}, {{{ B }}} to {{{ C }

Algebra ->  Graphs -> SOLUTION: Hello, I need help with the following math problem: Let A=(0,1), B=(2,5), C=(5,2), and D=(7,0). A figure is created by connecting {{{ A }}} to {{{ B }}}, {{{ B }}} to {{{ C }      Log On


   



Question 1042580: Hello,
I need help with the following math problem:
Let A=(0,1), B=(2,5), C=(5,2), and D=(7,0). A figure is created by connecting +A+ to +B+, +B+ to +C+, +C+ to +D+, and +D+ to +A+. The perimeter of +ABCD+ can be expressed in the form +a%2Asqrt%28+2+%29%2Bb%2Asqrt%28+5+%29+ with +a+ and +b+ integers. What is the sum of +a+ and +b+?
Thank you,
Nicole

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
You must calculate the length of each segment |AB|, |BC|, |CD|, and |AD|.

Then write the perimeter in terms of these lengths.

Then you will find the answer.