Angelica calculated the distance between the two points shown on the graph below.

On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).

Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.

Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.

Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.

Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.

She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.

Answer:

D

Step-by-step explanation:

The length of the side AB is 8 units, which Angelica calculated correctly.

The distance formula between two points,

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the given information AC = 6 units and BC = 10 units.

Therefore, The length of the side AB² = 10² - 6².

AB² = 100 - 36.

AB² = 64.

AB = 8 units.

learn more about Pythagoras's theorem here :

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