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3 years ago

What is cd? please answer

Mathematics

1 answer:

stealth61 [152]3 years ago

7 0

Answer:

18 units

Step-by-step explanation:

The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...

CG = 2·DG = 6 + DG

Then

DG = 6 . . . . . . subtract DG from the above equation

Of course, ...

CD = CG +DG = 2·6 +6

CD = 18

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Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Nata [24]

Answer:

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Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

$\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

$a^2+b^2=c^2$

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

$(5)^2+b^2=(13)^2$

Solve for b:

$b=\sqrt{169-25}=\sqrt{144}=12$

So, the opposite side measures 12.

Then sine will be:

$\displaystyle \sin\theta=\frac{12}{13}$

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