f 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)
The length of the hypotenuse of a right triangle can be found using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
In this case, both legs are 12 cm long, so using the Pythagorean Theorem:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides:
c ≈ √288
c ≈ 16.97 cm
Rounding to the nearest hundredth:
c ≈ 17 cm
Therefore, the length of the hypotenuse is approximately 17 cm.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs.
In this case, both legs of the right triangle are 12 cm long. Let's call the length of the hypotenuse "c".
Using the Pythagorean theorem, we can write:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we need to take the square root of both sides:
c = √288
Using a calculator, the square root of 288 is approximately 16.97.
Rounding this value to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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 two legs.
Given that both legs of the right triangle are 12 cm long, we can substitute these values into the Pythagorean theorem:
Hypotenuse^2 = Leg1^2 + Leg2^2
H^2 = 12^2 + 12^2
H^2 = 144 + 144
H^2 = 288
To find the length of the hypotenuse, we take the square root of both sides:
H = √288
H ≈ 16.97
Rounding the answer to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.