The measure of a central angle is 115°. The intercepted arc created by this central angle is a ___ arc.
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Answer:
Step-by-step explanation:
Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore
The perimeter of ΔABC=36
⇒AB+BC+AC=36
⇒x+x+x=36
⇒3x=36
⇒x=12
Thus, AB=BC=AC=12.
Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.
Perimeter of ΔADC=40
⇒AD+DC+CA=40
⇒x+y+y=40
⇒12+2y=40
⇒2y=28
⇒y=14
Therefore, AD=DC=14
Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.
