Answer:
Part 1. 28 miles
Part 2. 16^2 + 12^2 = c^2
Part 3. 8 miles. All work is in step by step explanation.
Part 4. 8 miles
Step-by-step explanation:
Part 1. The total distance that Jane travels biking and running is 28 miles. This is because we add 16 and 12 which is her total route.
Part 2. The Pythagorean theorem is a^2 + b^2 = c ^2. In this case, the variable a is Jane's bike route(16 miles), the variable b is Jane's running route(12 miles), and the variable c is the Trainer's biking route as given. If we replace all variables with the values in miles, the equation would be 16^2 + 12^2 = c^2.
Part 3. WORK USED FROM EQUATION
16^2 = 16*16 = 256
12^2 = 12*12 = 144
Now we replace the numbers with the exponents with the solved numbers.
256 + 144 = c^2
256 + 144 = 400
400 = c^2
c = sqrt400
c = 20
Finally, we take the value of c and subtract it from the total distance of Jane's route which is 28 miles(as explained above).
28 - 20 = 8.
Hence, the answer is 8 miles
