Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Positive Only (Level 1)

This math topic focuses on finding missing coordinates of right triangles on a Cartesian grid to achieve a given triangle area, using only positive numeric values. The problems involve calculating or deducing coordinates where the only variable is either the x or y-coordinate, with the area of the triangle provided. Each question offers multiple choice answers, assisting in understanding both the geometric and algebraic relationships between the area of a right triangle and its vertex coordinates. This subject is a part of a larger unit on Cartesian Grid Geometry Logic.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Positive Only Worksheet

Math worksheet on 'Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Positive Only (Level 1)'. Part of a broader unit on 'Cartesian Grid Geometry Logic - Practice' Learn online: app.mobius.academy/math/units/cartesian_grid_geometry_logic_practice/

1

Find the missing value for y if the triangle has an area of 12

a

-1

b

15

c

1

d

8

e

9

f

14

2

Find the missing value for y if the triangle has an area of 16

a

5

b

7

c

3

d

6

e

12

f

9

3

Find the missing value for y if the triangle has an area of 14

a

16

b

10

c

15

d

3

e

8

f

13

4

Find the missing value for x if the triangle has an area of 12

a

5

b

3

c

11

d

1

e

18

f

9

5

Find the missing value for y if the triangle has an area of 12

a

-7

b

-5

c

1

d

7

e

-2

f

-4

6

Find the missing value for x if the triangle has an area of 28

a

18

b

0

c

9

d

5

e

1

f

14

7

Find the missing value for y if the triangle has an area of 18

a

1

b

0

c

10

d

8

e

4

f

9