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
16.97
16.97
Not enough information is given to solve the problem.
Not enough information is given to solve the problem.
17.0
17.0
288
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the length of the legs is given as 12 cm each.
Let's use the Pythagorean theorem to find the length of the hypotenuse:
hypotenuse^2 = leg1^2 + leg2^2
hypotenuse^2 = 12^2 + 12^2
hypotenuse^2 = 144 + 144
hypotenuse^2 = 288
To find the length of the hypotenuse, we need to find the square root of 288:
hypotenuse = √288 ≈ 16.97 cm
Therefore, the length of the hypotenuse is approximately 16.97 cm.
To find the length of the hypotenuse of 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 other two sides.
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 the equation:
c^2 = 12^2 + 12^2
Simplifying, we have:
c^2 = 144 + 144
c^2 = 288
To find the value of "c", we take the square root of both sides:
c = sqrt(288)
Using a calculator, we find:
c ≈ 16.97
Therefore, the length of the hypotenuse is approximately 16.97 cm, 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 the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
In this case, the lengths of both legs are given as 12 cm. So, you can use the formula:
Hypotenuse^2 = Leg1^2 + Leg2^2
Substituting the values given:
Hypotenuse^2 = 12^2 + 12^2
Simplifying:
Hypotenuse^2 = 144 + 144
Hypotenuse^2 = 288
To find the length of the hypotenuse, you can take the square root of both sides:
Hypotenuse = √288
Using a calculator, you can find that √288 is approximately 16.97. Rounding to the nearest hundredth, the length of the hypotenuse is 16.97 cm.