triangle sam has coordinates as shown. find the perimeter of the triangle. Express the answer in the simplest radical form
1 answer:
Using the distance formula, the perimeter of triangle SAM = 15 + 5√5 units.
<h3>How to Find the Perimeter of a Triangle Using the Distance Theorem?</h3>The distance theorem is d = , while the perimeter of a triangle is the sum of the length of its three sides.
Triangle SAM has the following vertices with their coordinates:
S(-6, 2)
A(-3, 6)
M(5, 0)
The perimeter of triangle SAM = SA + AM + SM
Use the distance formula to find the length of SA, AM, and SM:
SA = √[(−3−(−6))² + (6−2)²]
SA = √25
SA = 5 units
AM = √[(−3−5)² + (6−0)²]
AM = √100
AM = 10 units
SM = √[(−6−5)² + (2−0)²]
SM = √125
SM = 5√5 units
The perimeter of triangle SAM = 5 + 10 + 5√5
The perimeter of triangle SAM = 15 + 5√5 units
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Step 1: 198 × = 66, the number of men who left the party
Step 2: 256×= 64, the number of women who left the party
66+64=130
Since 130 is the number of people that left, you would subtract it from the total number of people at the party originally.
198+256=454
454-130=325
So, 325 people are left at the party