Right Triangles in Coordinate Plane

Find x.

• 22

• 11√3

• 11√2

• 11

Find a.

• 12

• 24

• 24√3

• 16

Find a.

• 2√3

• 2

• 12

• 6

Target, the bank, and Chipotle for a right triangle, with Chipotle at the right angle. Target is 1.8 miles east of Chipotle. The bank is 1.1 miles south of Chipotle. How far, to the nearest tenth, is Target from the bank?

If the Pythagoras property holds, the triangle must be _____

• right angled

• acute angled

• obtuse angled

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Explain why it is convenient to place a right triangle on the grid as shown when writing a coordinate proof.

• The hypotenuse of the right triangle is easy to identify.

• The side lengths are often easier to find because you are using zeros in your expressions.

• It is easier to dilate the figure on the coordinate plane.

• Both legs have the same length when you place the triangle on the x- and y-axes.

Find the coordinates of the vertex O.

Find the coordinates of the vertex U.

• (k, 0)

• (0, k)

• (k, 2k)

• (2k, k)

You and your cousin are camping in the woods. You hike to a point that is 500 meters east and 1200 meters north of the campsite. Your cousin hikes to a point that is 1000 meters east of the campsite.

The distance from the campsite to you is ______ meters.

• 1500

• 1300

• 1200

• 1000