What are two different ways you could find the value of a? explain these methods.

Sample Response: You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. You could also use the geometric mean (leg) theorem, which states that the length of the hypotenuse is to the length of an adjacent leg as that adjacent leg length is to the length of its corresponding segment in the hypotenuse. So you could write and solve the proportion 25/a = a/6.

Step-by-step explanation:

Two different ways you could find the value of a is rearranging the numbers of the equation so all the variables would be on one side of the equation and all the whole numbers would be on the other side of the equation. You could also plug in numbers for the other variables to find the value of a.