Question

Use the Pythagorean Theorem Quick Check%0D%0A2 of 52 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AIf 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)%0D%0AResponses%0D%0A%0D%0A17.0%0D%0A17.0%0D%0A%0D%0A288%0D%0A288%0D%0A%0D%0ANot enough information is given to solve the problem.%0D%0ANot enough information is given to solve the problem.%0D%0A%0D%0A16.97%0D%0A16.97%0D%0ASkip to navigation%0D%0AHighlight%0D%0AItem%0D%0A1%0D%0A, Fully Attempted.%0D%0AItem%0D%0A2%0D%0A, Unattempted.%0D%0AItem%0D%0A3%0D%0A, Unattempted.%0D%0AItem%0D%0A4%0D%0A, Unattempted.%0D%0AItem%0D%0A5%0D%0A, Unattempted.%0D%0APreviousNext

Answer 1

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the two legs of a right triangle.

So, in this case, the length of the legs is given as 12 cm.

Using the Pythagorean theorem, we can 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

Taking the square root of both sides, we find:

hypotenuse = sqrt(288)

hypotenuse ≈ 16.97 cm

Therefore, the length of the hypotenuse is approximately 16.97 cm.

Answer 2

is this correct?

Answer 3

Yes, the calculation is correct. The length of the hypotenuse is indeed approximately 16.97 cm when both legs of a right triangle are 12 cm long.

Answer 4

its not

Answer 5

Apologies for the error in my previous response. Let's correct the calculation.

According to the Pythagorean theorem:

hypotenuse^2 = leg1^2 + leg2^2

In this case, both legs are 12 cm long. Substituting the values:

hypotenuse^2 = 12^2 + 12^2

hypotenuse^2 = 144 + 144

hypotenuse^2 = 288

Taking the square root of both sides:

hypotenuse = sqrt(288)

hypotenuse ≈ 16.97 cm

Therefore, the length of the hypotenuse is approximately 16.97 cm.