Area (Right Triangle) to Missing Coordinate - Including Negative (Level 2)

This math topic involves practicing finding missing coordinates on a Cartesian grid for right triangles given their area, including problems that incorporate negative values. The exercises aim to enhance understanding and application of geometry and coordinate geometry concepts, specifically calculating areas of right triangles based on coordinates and determining missing values vital for triangle configuration. Multiple choice answers accompany each question, varying from coordinate determination for either x or y values, reflecting real-world geometrical problem-solving.

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 x if the triangle has an area of 40.5
a
-13
b
-1
c
-16
d
-11
e
-7
f
-6
2
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 22.5
a
5
b
4
c
10
d
-2
e
2
f
11
3
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 25
a
13
b
11
c
7
d
-1
e
12
f
14
4
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 35
a
2
b
4
c
-3
d
1
e
8
f
-9
5
An svg image showing a math problem
Find the missing value for x if the triangle has an area of 25
a
9
b
12
c
-3
d
-4
e
3
f
11
6
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 60.5
a
-17
b
-15
c
-8
d
-3
e
-11
f
0
7
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 63
a
-7
b
-1
c
-10
d
-6
e
-12
f
0
8
An svg image showing a math problem
Find the missing value for y if the triangle has an area of 35
a
0
b
4
c
-7
d
-2
e
-1
f
1