Question

in a triangle a the longer leg is 4 more than the shorter leg and the hypotenuse is 4 more than the longer leg.

Find the
Short Leg=_______
Long Leg=_______
Hypotenuse=_______

Answer 1

help please

Answer 2

Let s be the length of the shorter leg.
Then from the problem narrative,\[(s+4+4)^2=s^2+(s+4)^2 \]12^2Solve the above for s.
s = 12
{s, s + 4, s + 8}
{12, 16, 20}

Check out the above for any mistakes.

Answer 3

is that a specific formula for this type of problem?

Answer 4

so whats the answer

Answer 5

The problem text indicates a right triangle.
For a right triangle, the square of the hypotenuse is equal to the sum of the squares upon the legs.

The answer is 12, 16 and 20 in that order.