In <span>equilateral triangle all sides are equal =x,
from right triangle that is formed by </span>apothem , height 7*3= 21
hypotenuse /opposite leg = sin angle,
hypotenuse is a side of triangle =x, opposite leg is apotheme =21,
angle in equilateral triangle =60⁰
21/x= sin 60, x*sin60=21, x=21/sin60, x=21/(√3/2), x=42/√3
Area of triangle =1/2 x*x*sin angle
Area of triangle =1/2 *42/√3*42/√3*sin 60=1/2*(42²/3)*(√3/2) ≈ 255 cm²
this is just second way to do this problem, that I did at first (either way is correct)
<span> apothem divides one side by half,
so we get small right triangle with sides x hypotenuse, x/2 is one leg , and 21 is another leg
</span>by Pythagorean theorem
x²=(x/2)² +21²
x²-x²/4=441
3x²/4=441
3x²=441*4=1764
x²=1764/3
x=42/√3
Area of triangle =1/2*base *height =1/2*42/√3 *21≈255 cm²
Answer:
It is 285
Step-by-step explanation:
(1 2/3)% × (it) = 4.75
Of course, 1 2/3 = 5/3 and x% = x/100, so when we divide the above equation by (1 2/3)%, we get ...
(it) = 4.75/((5/3)/100) = 4.75×(300/5)
(it) = 285
Check the attached file for the solution.
Answer:
20
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2+16^2 = c^2
144+256 = c^2
400 = c^2
Take the square root of each side
sqrt(400) = sqrt(c^2)
20 = c
38.97 would be standard form