Question

Given the following two pairs of values: x1 = 5, y1 = 4 and x2 = 1, y2 = 1/2. What Pythagorean triple is associated with the pair (x1, y1)?

A) (3, 4, 5)
B) (5, 12, 13)
C) (8, 15, 17)
D) (7, 24, 25)

Answer 1

The Pythagorean triple associated with the pair (x1, y1) is (5, 4, sqrt(41)).

Step-by-step explanation:

The Pythagorean triple associated with the pair (x1, y1) can be found by using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, we can use the given values of x1 and y1 to find the length of the hypotenuse:

c = sqrt(x1^2 + y1^2)

Plugging in the values, we get:

c = sqrt(5^2 + 4^2) = sqrt(25 + 16) = sqrt(41)

Therefore, the Pythagorean triple associated with the pair (x1, y1) is (5, 4, sqrt(41)).