Question

If the length of AB=12, what is the length of AP?

Answer 1

AP= 12

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,
`x+x+60= 180`

⇒ 2x+60= 180

subtracting both side by 60

⇒
`2x= 120`

∴
`x= 60`

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.