True or false the in-center of a triangle is the point equidistant from each side of the triangle

True

Step-by-step explanation:

In-Center of a triangle : It is that point which  lie inside the triangle.

It is that point which is forming origin of a circle inscribed in a triangle.

It is the intersection point of angle bisector of three vertices of a triangle.

It is also center of a triangle.

We can see from the figure where I is in-center of triangle,the in-center is the point which is equidistant from  each side of  the triangle.

Hence, the statement is true.

True.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.