Answer:
Step-by-step explanation:
10
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle.
So, 6 * 2 / (sq root of 3) =
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6.9282032303
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Source:
http://www.1728.org/trig2.htm
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
First we will establish the equations which we will be using as displayed below:
Equation No. 1 -
A + B = 90°
Equation No. 1 -
A = 2B + 12
To begin with, let's make ( A ) the subject in the first equation as displayed below:
Equation No. 1 -
A + B = 90
A = 90 - B
Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:
Equation No. 2 -
A = 2B + 12
( 90 - B ) = 2B + 12
- B - 2B = 12 - 90
- 3B = - 78
B = - 78 / - 3
B = 26°
Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:
A = 90 - B
A = 90 - ( 26 )
A = 64°
ANSWER:
Therefore, the answer is:
A = 64°
B = 26°
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Changing the order may not affect the answer in some situation, however it's not a rule.
The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
<h3>Length of the longest slide</h3>
Isosceles triangle
Given:
Total length=13 inches
Hence:
AC=BC<AB
Let AC=BC=x-1 inches
AB=x inches
Thus:
x-1+(x-1)+x=13
3x-2=13
3x=13+2
3x=15
divide both side by 3x
x=15/3
x=5 inches
Hence:
Other two side
x-1=5-1=4 inches
Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
Learn more about Length of the longest slide here:brainly.com/question/7807143
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