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Chapter 13: Q. 33 (page 527)

There are twelve points, each with integer coordinates, that are 10 units from the origin. List the points. (Hint: Recall the 6, 8, 10 right triangle.)

Short Answer

Expert verified

The points are 10,0,0,10,−10,0,0,−10

6,8,6,10,8,10,8,6,10,6,10,8,−6,8,−6,10,−8,10,−8,6,−10,6,−10,8

Step by step solution

01

Step-1 – Given

Given that: There are twelve points, each with integer coordinate, that are 10 units from the origin. Recall the 6,8,10 right triangle.

02

Step-2 – To determine

We have to find the points.

03

Step-3 – Calculation

We first take the coordinates 10 units from the origin on the x and y-axis.

10,0,0,10,−10,0,0,−10

After that, we make the coordinate 6,8,10 points

6,8,6,10,8,10,8,6,10,6,10,8,−6,8,−6,10,−8,10,−8,6,−10,6,−10,8

It means, the points are 10,0,0,10,−10,0,0,−10

6,8,6,10,8,10,8,6,10,6,10,8,−6,8,−6,10,−8,10,−8,6,−10,6,−10,8

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Most popular questions from this chapter

Find the center and radius of each circle.

x+32+y2=49

Find the slope of the line.

In Exercises 4-9 state:

a. the coordinates of T.

b. the lengths of the legs of the right triangle.

c. the length of the segment shown.

In Exercises 27-32 find and then compare lengths of segments.

Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(~4, -2), and L(-2, 4), Show that the diagonals are congruent.

Find the center and radius of each circle.

x+72+y−82=3625
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