What is the area of the triangle formed by joining the points (8, 0), (12, 0), and (12, 4)? show in Cartesian plane
Answers
Answer: The area of a triangle is 32 sq units.
Explanation-Given the points are (8,0),(12,0), and (12,4).
Find the area of a triangle
Solution - Given points are (8,0),(12,0),(12,4).
, ,
We know,
Area of triangle=
Hence, the area of a triangle is 32sq units.
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Answer:
The area of a triangle is 32 sq units.
Step-by-step explanation:
Given the points are (8,0),(12,0), and (12,4).
Find the area of a triangle
Solution - Given points are (8,0),(12,0),(12,4).
�
1
�
1
x
1
y
1
,
�
2
�
2
x
2
y
2
,
�
3
�
3
x
3
y
3
We know,
Area of triangle=
1
2
∣
�
1
(
�
2
−
�
3
)
∣
+
�
2
(
�
3
−
�
2
)
+
�
3
(
�
1
−
�
2
)
2
1
∣x
1
(y
2
−y
3
)∣+x
2
(y
3
−y
2
)+x
3
(y
1
−y
2
)
=
1
2
∣
8
(
0
−
4
+
12
)
+
12
(
4
−
0
)
+
12
(
0
−
0
)
∣
=
2
1
∣8(0−4+12)+12(4−0)+12(0−0)∣
=
1
2
∣
8
×
−
4
+
12
×
4
+
0
∣
=
2
1
∣8×−4+12×4+0∣
=
1
2
∣
−
32
+
48
∣
=
2
1
∣−32+48∣
=
1
2
×
168
=
2
1
×168
=
32
A=32squnits
Hence, the area of a triangle is 32sq units.