Emaniee would like to build a ramp for her dog over some stairs.
Use the Pythagorean Theorem to compute the distance between points D and
C. (Right triangle) 11 inches, 7 inches, 30 inches.
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.
Thats not right bot
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.
To use the Pythagorean Theorem to compute the distance between points D and C in a right triangle with side lengths 11 inches, 7 inches, and 30 inches, you need to find the length of the hypotenuse.
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.
So, let's assume that the length of side D is the hypotenuse (since it is the longest side with length 30 inches in this case). We can label the other two sides as side A (with length 11 inches) and side B (with length 7 inches).
According to the Pythagorean Theorem, we have the equation:
D^2 = A^2 + B^2
Plugging in the given side lengths:
30^2 = 11^2 + 7^2
Simplifying:
900 = 121 + 49
900 = 170
Since this equation is not true, it means that there is an error in the given side lengths. In a right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longest side. Therefore, the side lengths of 11 inches, 7 inches, and 30 inches do not form a right triangle.
To compute the correct distance between points D and C, we would need the correct side lengths of the right triangle.