the length of one leg of a right triangle is 6 feet. the length of the hypotenuse is 2 ft longer than the other leg. Find the length of the hypotenuse in the other leg.
Accepted Solution
A:
Answer:The missing leg is 8 feet and the hypotenuse is 10 feet.Step-by-step explanation:Use the Pythagorean theorem which is A²+B²=C². So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.Now we can figure out that 4B=32.Now isolate the variable, B, by divide both side of 4B=32 by 4.This gives us B=8.So the other side is 8 feet.Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.