Square abcd is inscribed in circle p, with a diagonal that is 18 centimeters long. find the exact length of the apothem of square abcd.
a. 18√2
b. 9√2
c. 9√2 over 2
d. 9 over 2

C

Step-by-step explanation:

The Square ABCD inscribed in a circle is shown in the picture attached.

The diagonal is broken down into two 9 cm parts as shown. We let be the length of the apothem [line from center of square to midpoint of side]. Also, we let be half the length of the side of the square.Since square, and are equal

Let's find the side length of the square using pythagorean theorem:

Since, is HALF of SIDE LENGTH, is:

Since, and are equal, we can say

Apothem's length is . Answer choice C is right.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.