Ineed and i also need to solve the problems, !

Both of these problems use the Pythagorean Theorem:

where a and b are the legs of the right triangle and c is the hypotenuse of the right triangle..

In problem one, the distance walked by Adam and Jimena represent the two legs of a right triangle... try drawing them..now draw a line segment to finish out the third side of the triangle(or hypotenuse). We want to find the side length of this hypotenuse.

So substitute into the theorem:



5=c

For the second problem, the slide represent our hypotenuse(what we are looking for), and the 10 feet from the base to the ladder, and the height of 7 feet for the ladder represent the legs of our right triangle.. I would encourage you to try and draw the picture and label the dimensions.

Using the theorem: 10²+7²=c² or 149=c² now take the square root of both sides of the equation to find c = approximately 12.2 feet.. (the length of the slide)

The volume is 56.8 triangular the