Question 925018
Using the usual notation of a right triangle the sides are a nd b and the hypotenuse is c, we have
(1) c^2 = a^2 + b^2
We are given that c= 100 and b = 28.
Using (1) we have
(2) a^2 = c^2 - b^2 or
(3) a^2 = 100^2 - 28^2 or
(4) a^2 = 10000 - 784 or
(5) a^2 = 9216 or
(6) a = sqrt(9216) or
(7) a = 96
Let's use (1) to check the answer.
Is (100^2 = 96^2 + 28^2)?
Is (10000 = 9216 + 784)?
Is (10000 = 10000)? Yes
Answer: The last leg of the right triangle is 96.