Area (Right Triangle) to Missing Coordinate - Including Negative (Level 1)

This math topic focuses on finding missing coordinates of right triangles on a Cartesian grid, including cases with negative coordinates. Students practice calculating the area of right triangles given various coordinates and using the area to determine unknown x or y values. The problems include a range of specific area values that require applying formulas and logic to solve for the missing coordinate. This topic is a part of a broader unit on Cartesian grid geometry logic, aimed to enhance students' understanding of geometric concepts in a coordinate system.

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 - Including Negative Worksheet

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Cartesian Grid - Area (Right Triangle) to Missing Coordinate - Including Negative
1
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 22
a
-16
b
2
c
-3
d
-13
e
-7
f
-17
2
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 126
a
-18
b
-17
c
-9
d
-5
e
-4
f
-14
3
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 42
a
13
b
2
c
4
d
12
e
0
f
-4
4
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 128
a
-7
b
1
c
-16
d
-10
e
2
f
-17
5
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 24
a
6
b
8
c
5
d
2
e
0
f
-10
6
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 84
a
-5
b
-3
c
-7
d
-4
e
-9
f
4
7
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 16
a
-3
b
-2
c
-9
d
-10
e
-7
f
0
8
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 30
a
-12
b
-4
c
-2
d
-3
e
-10
f
5