Question

A student named Janine says that the measure of side b is 64 ft. Please state whether this is correct or incorrect. If this is incorrect, state the length of b. Explain your answer in complete sentences. Use vocabulary such as Pythagorean Theorem, side, hypotenuse, square root etc.

Answer 1

The measure of side b as 64 ft is incorrect. The accurate measure would be 8 ft.

According to the Pythagorean theorem, the square of the hypotenuse of a right-angle triangle is the sum of squares of the opposite and the adjacent sides. Mathematically:

$hypotenuse^2 = opposite^2 + adjacent^2$

In this case, the hypotenuse = 10 ft, the opposite = 6 ft and the adjacent = b

Hence,

b^2 = 10^2 - 6^2

       = 100 - 36

          = 64

b = √64

     = 8 ft

Thus, the side b is 8 ft and not 64 ft.

More on the Pythagorean theorem can be found here: brainly.com/question/16426393