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3 years ago

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

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

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, $x+x+60= 180$

⇒ 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.

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