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charle [14.2K]
3 years ago
8

What is the area of an equilateral triangle with each side as 2 inches?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0
\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{one of the sides}
bezimeni [28]3 years ago
3 0
We use pythagoraeon theroome to find the height
see attachment

remember
for a right traingle
a²+b²=c²

legs are 1 and ?
hytponuse is 2
1²+?²=2²
1+?²=4
minus 1 both sides
?²=3
sqrt both sides
?=√3=height

area=1/2 times base times height
aera=1/2 times 2 times√3
area=√3 square inches

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Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation  f(x) = 0 .

When the graphs of y = f(x) and  y = g(x)  intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation  f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1 

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1.  First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).



We calculate the point of intersection by solving the equation f(x) = g(x). That is:

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The y coordinate can now be found by calculating f(2):

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The example shows that we can find the point of intersection in two ways.

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