SOLUTION: Please help if possible!Thanks 1. A right triangle is a triangle with one angle measuring 90�. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem

Question 82462: Please help if possible!Thanks
1. A right triangle is a triangle with one angle measuring 90�. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem c^2=a^2+b^2.where c is the length of the hypotenuse (the side opposite the 90� angle). Find the length of the hypotenuse when the other two sides� measurements are 3 feet and 4 feet.
2.For the equation x-sqrt(x)=0 perform the following:
a)Solve for all values of x that satisfies the equation
Graph the functions y=x and y=sqrt(x) on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Thanks again!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. A right triangle is a triangle with one angle measuring 90�. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem c^2=a^2+b^2.where c is the length of the hypotenuse (the side opposite the 90� angle). Find the length of the hypotenuse when the other two sides� measurements are 3 feet and 4 feet.
:
Just substitute 3 and 4 for a and b, solve for c
:
c^2 = 3^2 + 4^2
:
c^2 = 9 + 16
:
c^2 = 25
:
c = sqrt(25)
:
c = 5 ft
:
:
2.For the equation x - sqrt(x)= 0 perform the following:
a) Solve for all values of x that satisfies the equation
:
Just looking at this equation, it becomes apparent that the only values of x,
that will satisfy this equation is +1 and 0.
You can prove this:
x - sqrt(x) = 0
x = sqrt(x)
or
x^2 = x, obviously only 1 or 0 work
:
:
Graph the functions y=x and y=sqrt(x) on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Should look like this:

:
Intersects at 0,0 and 1,1, you can see this is basically the same as the
equation we saw in question1; x = sqrt(x)
:
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