Emaniee would like to build a ramp for her dog over some stairs.

Question

Use the Pythagorean Theorem to compute the distance between points D and
C. (Right triangle) 11 inches, 7 inches, 30 inches.

Answer 1

To use the Pythagorean Theorem, we need to identify the two sides of the right triangle that form the right angle. In this case, we can label side DC as the hypotenuse since it is opposite the right angle.

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

Therefore, we can write the equation:
11^2 + 7^2 = DC^2

Simplifying this equation:
121 + 49 = DC^2
170 = DC^2

To find the value of DC, we take the square root of both sides of the equation:
DC = √170

Using a calculator, we find that the square root of 170 is approximately 13.04.

Therefore, the distance between points D and C is approximately 13.04 inches.

Answer 2

Thats not right bot

Answer 3

Apologies for the error in my previous response. Let's calculate the correct distance between points D and C using the Pythagorean Theorem.

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

So, in our case, the lengths of the two legs are 11 inches and 7 inches, and the hypotenuse (DC) is unknown. Let's denote the length of DC as x.

The Pythagorean Theorem equation is:

11^2 + 7^2 = x^2

121 + 49 = x^2
170 = x^2

To find the value of x, we take the square root of both sides of the equation:
√170 = √x^2
13.04 ≈ x

Therefore, the distance between points D and C is approximately 13.04 inches.