Answer:
AP= 12
Step-by-step explanation:
Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.
Given: AB= 12
∠APB= 60°
Remember; sum of all angle of triangle is equal to 180°.
We can look at picture, where two side of triangle is radius of circle.
∴ Angle of two side will also be same for the isosceles triangle.
Lets assume the unknow angle of the triangle be "x".
Now, [tex]x+x+60= 180[/tex]
⇒ 2x+60= 180
subtracting both side by 60
⇒ [tex]2x= 120[/tex]
∴ [tex]x= 60[/tex]
As now we have all the angle of triangle is 60° (equilateral triangle)
∴ All the side will be same, which is 12
Hence, AP= 12.
