Answer:
The perimeter of an equilateral triangle that has a height of 24m is
Option C : 48 square root 3
Step-by-step explanation:
Given:
Height of the triangle =24 m
To Find:
The perimeter of an equilateral triangle = ?
Solution:
Perimeter of the equilateral triangle = 3a
where a is the side of the triangle
Here the height is given as 24 m
Then from the figure
![Sin(60^{\circ}) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=Sin%2860%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
![Sin(60^{\circ}) = \frac{24}{x}](https://tex.z-dn.net/?f=Sin%2860%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7B24%7D%7Bx%7D)
![x = \frac{24}{Sin(30^{\circ})}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B24%7D%7BSin%2830%5E%7B%5Ccirc%7D%29%7D)
![x= \frac{24}{\frac{\sqrt{3}}{2}}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B24%7D%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D)
![x = \frac{24 \times2}{\sqrt{3}}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B24%20%5Ctimes2%7D%7B%5Csqrt%7B3%7D%7D)
![x = \frac{48}{\sqrt{3}}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B48%7D%7B%5Csqrt%7B3%7D%7D)
Now
The perimeter is
=> 3x
=>
-------------------------(1)
Now we know that 3 =
--------------------(2)
Substituting (2) in (1)
=>![(\sqrt{3} \times \sqrt{3}) \times \frac{48}{\sqrt{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%7B3%7D%20%5Ctimes%20%5Csqrt%7B3%7D%29%20%5Ctimes%20%5Cfrac%7B48%7D%7B%5Csqrt%7B3%7D%7D)
=>![48\sqrt{3}](https://tex.z-dn.net/?f=48%5Csqrt%7B3%7D)
Answer:
368 cm²
Step-by-step explanation:
Bottom: 12 * 10 = 120 cm²
Front and back (square): 2 * (10 * 10) = 200 cm²
Front and back (triangle): 12*8/2 = 48 cm²
Total = 120 + 200 + 48 = 368 cm²
Answer:
50
Step-by-step explanation:
5^3÷(13-8)×2
Using the BODMAS rule
Bracket first
13-8=5
5^3=125
Followed by division
125÷5=25
Then back to the multiplication
25×2=50
Answer:
The area of the triangle is ![A=4\ units^{2}](https://tex.z-dn.net/?f=A%3D4%5C%20units%5E%7B2%7D)
Step-by-step explanation:
Let
A(0, −2),B (0, −3) and C(8, -3)
Plot the vertices
see the attached figure
Triangle ABC is a righ triangle
The area of the triangle ABC is equal to
![A=\frac{1}{2}(BC)(AB)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28BC%29%28AB%29)
![BC=8-0=8\ units](https://tex.z-dn.net/?f=BC%3D8-0%3D8%5C%20units)
![AB=-2-(-3)=1\ units](https://tex.z-dn.net/?f=AB%3D-2-%28-3%29%3D1%5C%20units)
substitute
![A=\frac{1}{2}(8)(1)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%288%29%281%29)
![A=4\ units^{2}](https://tex.z-dn.net/?f=A%3D4%5C%20units%5E%7B2%7D)
Answer:
8%
Step-by-step explanation:
Its still 8% of her money