Find the perimeter of the triangle.[Graph]

abondantQ 2021-03-05 Answered

Find the perimeter of the triangle.

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Expert Answer

hosentak
Answered 2021-03-06 Author has 100 answers

The perimeter of a triangle is the sum of its side lengths so we first need to find the three side lengths of the triangle. 
Since the side from (−3,−1) to (2,−1) is a horizontal segment, we can count the number of units between the two points to find its length. Since 2−(−3)=5, then the length of this side is 5. 
Since the side from (2,−1) to (2,3) is a vertical segment, we can count the number of units between the two points to find its length. Since 3−(−1)=4, then the length of this side is 4. 
The side between from (-3,-1) to (2,3) is not a horizontal or vertical segment so we need to use the distance formula d=(x2x1)2+(y2y1)2 to find the lenght of this side: 
d=(32)2+(13)2  Substitute. 
=(5)2+(4)2  Substract. 
=(25+16)  Evaluate the powers. 
=41  Add. 
The length of the third side is then 416.4. 
The perimeter of the triangle is then about 5+4+6.4=15.4. The exact perimeter is 5+4+41=9+41

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