SOLUTION: Find the length of AB if AC has a length of 5 1/3 and BC has a length of 2 1/4.

Algebra ->  Number-Line -> SOLUTION: Find the length of AB if AC has a length of 5 1/3 and BC has a length of 2 1/4.      Log On


   



Question 143354: Find the length of AB if AC has a length of 5 1/3 and BC has a length of 2 1/4.
Answer by zephyr(9) About Me  (Show Source):
You can put this solution on YOUR website!
For this type of equation. (assuming that we're looking for the measurement for the last side of a triangle.) You always have to remember this.

A Squared + B Squared = C Squared

It's simple! Here, let's say that AC was A, and that BC was B. (If you wanted to, you could make AC B, and BC A. But it really doesn't matter.) Now you Square them both.

A

A=5.333%5E2 (I know 1/3 goes on forever, but I can't put it down with 1/3 without it being auto "corrected". So if it really bothers you, just imagine a bunch of 3's ^^')

A=+28.444... (This might be a fraction, but i'm not sure. So if you're allowed to round, then i'd round it to 28.44)

B

B=2.25%5E2

B=5.0625

Now you add the 2 numbers. (I'll use the 28.44 for this, but you might want to check with your teacher)

28.44%2B5.0625=33.5025

And this would be your answer....if A squared + B Squared = C. But nooooo it's C squared, so we need to find the square root of 33.5025. Which is 5.788134414. (It might even run longer, but my graphing calculator only goes to 9 digits. So again, I would round to about 5.8)

(I might not have gotten the exact answer...but that should be close. Either way...I hope I helped a little ^^' Good luck!)