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2 years ago

Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?

Mathematics

1 answer:

S_A_V [24]2 years ago

5 0

Answer:

the desired range is 2 < t < 12.

Step-by-step explanation:

If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).

Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.

Thus, the desired range is 2 < t < 12.

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Roman55 [17]

The only true statement that compares the two functions is:

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<h3>Which statements are correct?</h3>

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

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Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

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The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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