Find the length of the hypotenuse of the right triangle. Use pencil and paper. Explain how you can interpret the Pythagorean Theorem using the areas of squares. A right triangle has a vertical leg labeled 7 and a horizontal leg labeled 24. The hypotenuse is labeled c. 24 7 c. The length of the hypotenuse is

The length of the hypotenuse is  25

Step-by-step explanation:

Hi, to answer this question we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)

Replacing with the values given:  

c^2 = 7^2 + 24^2  

c^2 = 49+576

c^2 = 625

c = √625

c = 25  

Feel free to ask for more if needed or if you did not understand something.  

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2