2. Find the perimeter and area of the figure formed using the points: (4, 0), (4, –5), (9, 0), and (9, –5)
Answers
Answer:
√5(2+√2)
Step-by-step explanation:
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Class 11
>>Applied Mathematics
>>Straight lines
>>Introduction
>>Find the perimeter of the triangle forme
Question
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Find the perimeter of the triangle formed by the points (3,5),(4,8) and (5,6).
Medium
Solution
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Correct option is A)
To find the perimeter of the triangle formed by the points A(3,5), B(4,8) and C(5,6), we must find the distance between these three points that can be determined as follows:
AB=
(4−3)
2
+(8−5)
2
=
1
2
+3
2
=
1+9
=
10
BC=
(5−4)
2
+(6−8)
2
=
1
2
+2
2
=
1+4
=
5
AC=
(5−3)
2
+(6−5)
2
=
2
2
+1
2
=
4+1
=
5
Now the perimeter is AB+BC+AC that is
AB+BC+AC=
10
+
5
+
5
=
10
+2
5
=
5
(2+
2
)
Hence the perimeter is
5
(2+
2
).