Question

To find the distance between the origin and the point left-parenthesis 3 comma 7 right-parenthesis, Micah draws a right triangle in the coordinate plane. The hypotenuse of the triangle is the segment with endpoints left-parenthesis 0 comma 0 right-parenthesis and left-parenthesis 3 comma 7 right-parenthesis. Which of the following could be the coordinates of the vertex where the legs of the right triangle meet?

Answer 1

The answer to your question is: (3, 0)

Explanation:

Data

Origin (0, 0)

Point (3, 7)

Then, from the information given, we can conclude that 3 is the adjacent leg and 7 is the opposite leg.

Formula

c² = a² + b²

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √ 58

The coordinates of the vertex where the legs of the right triangle meet must be (3, 0)