The lengths of two sides of triangle are given. Determine the range for the possible lengths of the third side
1 answer:
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We know that the law of sines states that:
For simplicity, let:
In triangle A1BC this leads to:
Therefore:
Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:
Answer:
C
Step-by-step explanation:
Check all points:
A: x=0, y=10, then from the equality follows that A lies on the line.
B: x=3, y=13, then from the equality follows that B lies on the line.
C: x=8, y=2, then from the inequality follows that C doesn't lie on the line.
D: x=5, y=15, then from the equality follows that D lies on the line.