To find the length of the hypotenuse (c) of a right triangle using the Pythagorean Theorem, follow these steps:
1. Write down the formula: a^2 + b^2 = c^2, where a and b are the lengths of the other two sides of the triangle.
2. Substitute the given side lengths into the formula: 12^2 + 8^2 = c^2
3. Calculate the squares of the side lengths: 144 + 64 = c^2
4. Add the two results together: 208 = c^2
5. Take the square root of both sides to solve for c: √208 = √c^2
6. Simplify: c = √208
7. Determine the approximate value of c: c ≈ 14.4 feet
Therefore, the length of the hypotenuse (c) is approximately 14.4 feet rounded to the nearest tenth.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c= feet
c, 12ft, 8ft
what's the steps?
1 answer