1.)mario and hank are arguing. mario says it is impossible to draw a right triangle with sides measuring 8 inches, 12 inches, and 18 inches. hank says it is possible. who is correct? 2.) hank says it is possible to draw a right triangle with the measurements shown in the diagram below right triangle with sides of 10 in, and 26 in. what is the length of the third side of this right triangle?

Problem One
Test it.
a^2 + b^2 = c^2
a = 8
b = 12 What will c calculate to be.

8^2 + 12^12 = c^2
c^2 = 64 + 144
c^2 = 208 
If 18 is to be the hypotenuse of the triangle c^ must equal 324. 
208 is nowhere's near that amount. 
Mario is right.

Question Two
The only way Hank will be right is if 26 is the hypotenuse. If that is so, the third side is 24. This is how you do it.
a^2 + b^2 = c^2
c = 26
a = 10

10^2 + b^2 = 26^2
100 + b^2 = 676 Subtract 100
b^2 = 676 - 100
b^2 = 576
b = sqrt(576)
b = 24

If 26 is not the hypotenuse, the right triangle cannot be drawn.

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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.