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)
• Not enough information is given to solve the problem.
• 288
• 16.97
• 17.0
Yes, I am sure. The correct answer is 16.97 cm. By using the Pythagorean theorem, we find that 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, which 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 length of both legs is given as 12 cm. Let's denote the hypotenuse as 'c' and the legs as 'a' and 'b'.
So, according to the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of c, we need to take the square root of both sides:
c = √288
Rounding the result to the nearest hundredth gives us an answer of approximately 16.97.
Therefore, the nearest hundredth long hypotenuse is 16.97 cm.
The correct answer is: 16.97
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean Theorem. According to the theorem, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, both legs of the right triangle are given to be 12 cm in length. Let's assume one leg as side a and the other leg as side b.
So, a = 12 cm
b = 12 cm
Now, we can use the Pythagorean theorem to find the length of the hypotenuse:
c^2 = a^2 + b^2
Substituting the values, we get:
c^2 = 12^2 + 12^2
= 144 + 144
= 288
Now, to find the length of the hypotenuse (c), we take the square root of both sides of the equation:
c = sqrt(288)
Using a calculator, we find that the square root of 288 is approximately 16.97.
Therefore, the length of the hypotenuse of the right triangle is approximately 16.97 cm (rounded to the nearest hundredth), which corresponds to the answer option: 16.97.
Are you sure
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 hypotenuse is equal to the sum of the squares of the two legs.
Let's call the length of the hypotenuse "c" and the lengths of the legs "a" and "b". In this case, both legs are 12 cm long.
Using the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse, we take the square root of both sides of the equation:
c = √288
c ≈ 16.97
Rounded to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.
Therefore, the correct answer is: 16.97