What is the length of the altitude of the equilateral triangle below
Answers
The length of the altitude of the equilateral triangle is 9 units.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Use the sin angle ratio and calculate,
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2 x a = 6√3 x √3
2a = 6 x √(3 x 3)
2a = 6 x 3
a = 6 x 3/2
a = 3 x 3 = 9
Therefore, the length of the altitude of the equilateral triangle is 9 units.
To know more about trigonometry follow
#SPJ7
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
Related Questions
Each of the 20 members of a club needs to purchase a t-shirt and a flag. T-shirts cost $10 each. Flags cost $2.50 each. Before tax, what is the cost for all the t-shirts and flags?
What is the value of j in the equation j + j + 14 = 3 j + 10?a. 2 b. 16 c. 2 d. 4
Perry observes the opposite, parallel walls of a room. In how many lines do the planes containing the walls intersect? Perry observes the opposite, parallel walls of a room. In how many lines do the planes containing the walls intersect? a) 0 b)1 c)2 d)3
Write an equation in slope-intercept form of a line with the following characteristics: parallel to the graph of: -4x + 3y= 12 and passes through the origin.
f(x) = 102; 9(1) = 1 + 3
Answers
Answer:
9=4
Step-by-step explanation:
9(1)= 1+3
9(1)=9
1+3=4
9:4
Answers
Answer:
12a³+2a²+23a+18
Step-by-step explanation:
(3a+2)(4a²-2a+9)=
12a³-6a²+27a+8a²-4a+18=
12a³+2a²+23a+18
If you need more explanation, reply to this answer.
Answers
Number 3 times 16 is equals to 48.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The number 16 times is equal 48.
Let a number = x
Hence, We can formulate;
⇒ 16 × x = 48
Divide by 16;
⇒ x = 48 / 16
⇒ x = 3
Thus, 3 times 16 is equals to 48.
Learn more about the divide visit:
#SPJ5
In order to get this answer you have to divide 48 by 16 to get 3 as your answer.
Hopes it Helps :]
Answers
=
Because
and we multiply by the reciprocal of 100 which is
=
As a fraction it is:
As a decimal it is: 1.855
Answers
3/4 = 9/12
11/12 – 9/12 = 2/12 = 1/6
11/12 - 9/12
2/12
Simplified, it becomes 1/6
Negative StartFraction 7 Over 3 EndFraction = Negative StartFraction 7 Over 10 EndFraction x
x = negative five-halves x + StartFraction 35 Over 3 EndFraction
0 = negative StartFraction 7 Over 10 EndFraction x + StartFraction 7 Over 3 EndFraction
Answers
Answer:
B and C) 7/10x= 7/3 and -7/3 =-7/10 are the answers you are looking for
Step-by-step explanation:
Hope this helps! :)
Answer:
your answer would be B and C!!
Step-by-step explanation:
that is for edge 2020.