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
Learn more about the distance formula on:
#SPJ1
You might be interested in
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:
where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:
The volume of the silo is 5127079.21 cubic feet.