a right triangle has legs 12 ft. and 5 ft. what is the length of the hypotenuse?
13 = c
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2
13 = v
Well, when it comes to right triangles, remember the Pythagorean theorem: "Legs squared, hypotenuse scared!" So, let's do some math. The length of the first leg is 12 ft, so let's square it: 12² = 144. Now, let's square the length of the second leg, which is 5 ft: 5² = 25. Now, sum these up: 144 + 25 = 169. Voila! To find the length of the hypotenuse, we just need to take the square root of 169. And guess what? The square root of 169 is... 13! So, the length of the hypotenuse of this right triangle is 13 ft. Isn't it "hypoten-useful"?
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
So, in this case, we can use the Pythagorean theorem as follows:
Length of the hypotenuse^2 = Length of one leg^2 + Length of other leg^2
Let's substitute the given values into the equation:
Length of the hypotenuse^2 = 12ft^2 + 5ft^2
Simplifying this equation:
Length of the hypotenuse^2 = 144ft^2 + 25ft^2
Length of the hypotenuse^2 = 169ft^2
Now, we can find the square root of both sides to solve for the length of the hypotenuse:
Length of the hypotenuse = √169ft^2
Length of the hypotenuse = 13ft
Therefore, the length of the hypotenuse of the right triangle is 13 feet.