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3 years ago

Which of the following sets of numbers could be the lengths of the sides of a triangle?

Mathematics

2 answers:

kicyunya [14]3 years ago

8 0

Answer is C. 8, 3, 6

To answer this, you must know the Triangle Inequality Theorem.

The two shortest sides when added together, must be greater than the longest side.

A. 2 + 4= 6 which can't work since it equals the longest side of 6

B. 4 +2=6 The sum would be less than 8, which doesn't work

C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle

D. 3 +8 = 11 11 is less than 12

Amanda [17]3 years ago

5 0

I believe the answer is answer is C

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antoniya [11.8K]

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3 years ago

The midpoint of UV is point W. What are the coordinates of point V?

madreJ [45]

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

$Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}$

Therefore:

$x_{2}=2x_{3}-x_{1} \\ y_{2}=2y_{3}-y_{1}$

So we know $x_{3} \ and \ y_{3}$ but we also must know $x_{1} \ and \ y_{1}$

Finally, knowing the points U and W we can find the endpoint V.

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3 years ago

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