The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus
. A whole side of the triangle is
. Multiply that by 3 to get the perimeter of <span>
.</span>
Answer:
In the picture
Step-by-step explanation:
Assuming the logarithm is base
, you have
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
Therefore, the length of the longest side is 2sqrt(10) units
Answer:
3x + 15 = 3*10 + 15 = 30 + 15 = 45
<u>3x + 15 = 45</u>
Now,
2x + 25 = 2*10 + 25 = 20 + 25 = 45
<u>2x + 25 = 45</u>
Step-by-step explanation:
3x + 15 + 2x + 25 = 90
or, 5x + 40 = 90
or, 5x = 90 - 40
so, 5x = 50
so, x = 50/5 = 10
