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.

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

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Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Positive Only
1
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 24
a
2
b
-6
c
10
d
9
e
-2
f
1
2
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 18
a
4
b
8
c
-4
d
5
e
2
f
1
3
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 12
a
2
b
16
c
7
d
-1
e
6
f
13
4
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 20
a
0
b
9
c
12
d
2
e
13
f
-1
5
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 18
a
5
b
12
c
9
d
18
e
8
f
17
6
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 16
a
5
b
9
c
7
d
3
e
12
f
6
7
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 18
a
2
b
5
c
-7
d
-4
e
1
f
6
8
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 16
a
8
b
0
c
-5
d
14
e
5
f
11