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how do I find the domain and range to this function?
In an isosceles triangle, the two equal sides are 3.0 cm. The length of the base b cm depends on the size of the top angle a°. Determine the Domain of the function and the range for the function b(a).
how can the answer be:
0 < a < 180 , and
0 < b < 6
I don't understand anything…. can anyone explain this… Thank you.
1 Answer
- ?Lv 71 year agoFavorite Answer
Imagine the 2 equal sides are hinged where they meet, so they can open and
close. As they close up, angle a approaches 0º, and side b approaches 0.
As the equal sides open up, angle a increases, but, since it's in a ∆, a can't be
≥ 180º. Also, as the equal sides open, side b will approach 6 cm.
Thus, as stated, 0 < a < 180, and 0 < b < 6