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Pachacha [2.7K]
3 years ago
6

the side of an equilateral triangle are8 units long. what is the length of the altitude of the triangle?

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

So, the triangle is equilateral, all its sides are equal⇒

AB=BC=AC=8

In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒

AO=OC=8:2=4

by the Pythagorean theorem

8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}

Answer: BO=4√3

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

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Answer:

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3 years ago
Which of the objects shown above are pyramids?
PolarNik [594]
<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0
2 years ago
In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
zhenek [66]

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

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6 0
3 years ago
Find the measure of.. (Image included) <br> I'll take all the help I can get please :)
sergey [27]

Answer:

\sf\Huge\boxed{C.40}

Step-by-step explanation:

Hello There!

Remember: sum of interior angles of a triangle = 180

so to find x we use this equation

180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)

now we solve for x

step 1 combine like terms

90 + 5 + 5 = 100

7x + 9x = 16x

now we have 180 = 16x + 100

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 80 = 16x

step 3 divide each side by 16

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16x/16=x

we're left with x = 5

Finally we plug in 5 into x for angle a

7(5)+5

7*5=35

35+5=40

so we can conclude that the measure of angle A is 40 degrees

4 0
2 years ago
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