If a right triangle has legs that are both 12 cm long, how long is the hypotenuse? Round the answer to the nearest hundredth.(1 point)
To find the length of the hypotenuse of a right triangle, we 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.
In this case, the lengths of the legs are both 12 cm. Let's call the hypotenuse "c" and set up the equation:
c² = 12² + 12²
c² = 144 + 144
c² = 288
Now, we can find the square root of both sides to solve for c:
c = √(288)
c ≈ 16.97
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two legs of the right triangle are both 12 cm long. Let's call the length of the hypotenuse "c". The Pythagorean theorem equation is:
c^2 = 12^2 + 12^2
Simplifying the equation:
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we need to take the square root of both sides of the equation:
c = √288
Using a calculator, the square root of 288 is approximately 16.97.
Therefore, the length of the hypotenuse is approximately 16.97 cm when rounded to the nearest hundredth.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the lengths of the legs are given as 12 cm each. Let's call one leg "a" and the other leg "b". The length of the hypotenuse, which we want to find, can be represented as "c". According to the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Substituting the given lengths, we get:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the actual length of the hypotenuse, we need to take the square root of 288:
c ≈ √288
Using a calculator, we find that √288 is approximately 16.97. Rounding this answer to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.