To find the height of an equilateral triangle, draw a line from the middle of the base to the vertex (meeting point) at the top of the triangle.
An equilateral triangle is also equiangular - meaning that its angles are all 60°.
By drawing a line down the middle of the triangle (see image), we effectively create a 30-60-90 triangle on both sides - the line splits the 60° angle at the top into 30 and 30, and the height line is perpendicular to the base, making a right angle.
The sides of a 30-60-90 triangle are x, 2x, and x√3, with x being the shortest side and 2x being the hypotenuse.
We already know what 2x is - it's the side length of the triangle, or 20.
If 20 = 2x, then we can easily figure out what the length of the short side, or half the base, is.
That leaves the medium-length side - the height side drawn down the middle of the triangle. Given that 20 = 2x and the last side is x√3, what is the height?
Hope this helps!
-refrac532
Answer:
Step-by-step explanation:
A box plot is the diagrammatic representation of the five number summary. It includes 5 items:
The minimum.
Q1 = the first quartile or the 25% mark.
The median.
Q3 = the third quartile or the 75% mark.
The maximum.
Rearranging the data in ascending order, it becomes
169, 163, 153, 166, 149, 148, 146, 145, 152, 163
145, 146, 148, 149, 152, 153, 163, 163, 166, 169
Minimum = 145
Maximum = 169
Median = (152 + 153)/2 = 152.5
The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3
Q1 = 148
Q3 = 163
The diagram of the box plot is shown in the attached photo
It is b because we took out the out liar which was 79in and 1018in was to far hight was to much and c was to low
Answer:
GCF = 12
for the values 144, 180, 240, 300
Solution by Factorization:
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Then the greatest common factor is 12.