In the right triangle shown, AC = BC and AB = 8V2.

How long are each of the legs?
Answer exactly, using a radical if needed.

Each leg is 8 units long

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Any right triangle must satisfy the Pythagorean Theorem

so

where

c is the hypotenuse (greater side)

a and b are the legs (perpendicular sides)

In this problem we have

substitute

therefore

Each leg is 8 units long

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!