Question

Find the Value of x .. Pythagorean theorem .. 44, 16, 22, x" A) x = 60 B) x = 20 C) x = 50 D) x = 18

Answer 1

The Pythagorean theorem is used to determine the length of the hypotenuse of a right triangle given the lengths of the other two sides. In this case, the correct value of x, representing the hypotenuse, is 50, which is calculated using the theorem: √(44² + 16²).

Step-by-step explanation:

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).

This can be expressed as a² + b² = c². Since you have provided the lengths of three sides, let's check if one of them is the hypotenuse by using the Pythagorean theorem.

If 44 is the hypotenuse, then the equation would look like 16² + 22² = 44², but actually, 16² + 22² < 44², meaning 44 is not the hypotenuse but one of the legs.

If we consider 44 and 16 as the legs (a and b), then x, representing the hypotenuse (c), can be found using the formula: x = √(44² + 16²).

By calculating, we get x = √(1936 + 256), which is x = √2192. The value closest to √2192 from the options you've provided would be 50.

Answer 2

The value of x in the Pythagorean theorem equation where a = 44, b = 16, and c = 22 is approximately 41.33. Unfortunately, none of the provided options (A, B, C, or D) match this answer.

Step-by-step explanation:

Pythagorean theorem: We know the Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case:

c^2 = a^2 + b^2

22^2 = 44^2 + 16^2

484 = 1936 + 256

Solving for x: We need to find x, which is the hypotenuse (c) in this scenario. Therefore:

x^2 = 484

x = √484 ≈ 41.33 (rounded to two decimal places)

Checking options: None of the provided options (60, 20, 50, or 18) match the calculated value of x (41.33).

Therefore, the correct answer is not provided in the given options. However, the value of x using the Pythagorean theorem is approximately 41.33.