Question

Carl is trying to determine the length of segment mn using the pythagorean theorem. on a coordinate plane, line m n has points (negative 3, 1) and (4, negative 4). step 1: find the vertex of a possible right triangle. v(4, 1) step 2: find the leg lengths of the right triangle. nv = 7, mv = 5 step 3: substitute the values into the pythagorean theorem. 7 squared 5 squared = c squared step 4: solve for c. 7 squared 5 squared = c squared. 49 25 = c squared. 74 = c squared. startroot 74 endroot = c. which best describes the accuracy of carl’s solution? carl’s work and answer are both entirely correct. carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2. carl’s work and answer are incorrect. he choose a vertex, v, that does not make a right triangle with mn. carl’s work and answer are incorrect. he substituted and solved incorrectly.

Answer 1

The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

What is Pythagoras?

It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.

In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

Therefore, the correct option is C.

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Answer 2

Answer:

c

Step-by-step explanation:

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.