Rachel bought a rug for her apartment. The rug is 11

1 answer:

6 0

Answer: the diagonal is 14.21 feet. Explanation: So imagine the rug has the vertexes A, B, C, and D. The length (A to B) is 11 ft, and the width (B to C) is 9 ft. You want to find the distance between A and C. The AC line creates two right triangles in the rug, so you can use the Pythagorean theorem to solve the problem. The Pythagorean theorem is a^2 + b^2 = c^2 (or in this case, AB^2 + BC^2 = AC^2). Plug in the number (you should have 11^2 + 9^2 = AC^2). Simplify the equation to get 202 = AC^2. Square both sides to get the answer. You should an answer around 14.21 ft.

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All four B points are equidistant from points A and C. Are they all midpoints of AC? Justify your answer.

Rina8888 [55]

Answer:

Step-by-step explanation:

For a point to be the midpoint of a line segment, it must bisect it into two equal segments and be on the line segment (hence, colinear with the endpoints). All four B points are equidistant from points A and C, but aren’t colinear with A and C. Therefore, they aren’t all midpoints of line segment AC.

I hope this helps! :)

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2 years ago

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