apply the Pythagorem theorem to this answer

a2 + b2 = c2
76^2 + 30^2 = c^2

To apply the Pythagorean theorem to solve for the length of the hypotenuse (c) in this question, you can follow these steps:

Step 1: Take the square of the first leg (a).
In this case, the length of the first leg (a) is 76. So, you square 76: 76^2 = 5776.

Step 2: Take the square of the second leg (b).
In this case, the length of the second leg (b) is 30. So, you square 30: 30^2 = 900.

Step 3: Add the square of the first leg and the square of the second leg.
Add the results from step 1 and step 2: 5776 + 900 = 6676.

Step 4: Take the square root of the sum to solve for the length of the hypotenuse (c).
Take the square root of 6676: √6676 ≈ 81.76.

Therefore, the length of the hypotenuse (c) is approximately 81.76 units.