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heavyhearttim
09.07.2019 •
Mathematics
Using the pythagorean thereom, find the are of an equilateral triangle whose sides measure 5 units. find the are to the nearest tenth of a square unit.
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Ответ:
An equilateral triangle isn't a right triangle, so the Pythagorean Theorem doesn't apply directly.
But if we divide an equilateral triangle with side s in half along an altitude, we get two congruent right triangles each with hypotenuse s and one leg s/2.
The other leg is the altitude h we divided along. By the Pythagorean Theorem
The area A of our original equilateral triangle is now
So the area of our equilateral triangle of side 5 is
10.8
I don't like ruining a nice exact answer with an approximation, but the question asks for one.
We could have done the above steps with 5 in particular instead of s but I prefer to do the general solution and substitute at the end.
----
Since you read this far, I will give you the secret formula for the area S of a triangle given squared sides A, B, C. Your teachers won't even know this one.
Let's try it out for
an equilateral triangle:
Ответ:
-3, 7
Step-by-step explanation:
because you take how much from the first coordinate to the second and add it too the second