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)
Responses
Not enough information is given to solve the problem.
Not enough information is given to solve the problem.
288
288
17.0
17.0
16.97
16.97
To find the length of the hypotenuse in 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 other two sides.
In this case, since both legs are 12 cm long, we can substitute their lengths into the theorem as follows:
Hypotenuse^2 = 12^2 + 12^2
Hypotenuse^2 = 144 + 144
Hypotenuse^2 = 288
To find the length of the hypotenuse, we need to take the square root of both sides:
Hypotenuse = √288
Using a calculator, we find that the square root of 288 is approximately 16.97. Rounding this to the nearest hundredth, the length of the hypotenuse is 16.97 cm.
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. In this case, both legs are 12 cm long. Therefore, applying the Pythagorean theorem, we have:
Length of hypotenuse = √(12^2 + 12^2)
Simplifying the equation:
Length of hypotenuse = √(144 + 144)
Length of hypotenuse = √(288)
To find the approximate value, we can use a calculator or a math function. Rounding the answer to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.