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maxkor
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Let $ABC$ be a triangle with $\angle A= 60^{\circ},$ and $AD,BE$ are bisectors of $A,B$ respectively where $D\in BC, E\in AC.$ Find the measure of $B$ if $AB+BD=AE+BE.$
Bisectors are lines that divide an angle into two equal parts. In a triangle, the bisectors of each angle intersect at a point called the incenter. This point is equidistant from the sides of the triangle and is the center of the inscribed circle.
To find the measure of an angle using bisectors, you can use the angle bisector theorem. This states that the angle bisector of an angle in a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. By setting up and solving a proportion, you can find the measure of the angle.
Yes, you can use bisectors to find the measure of any angle in a triangle. This is because the angle bisector theorem applies to all angles in a triangle, not just the ones that are bisected.
There are three bisectors in a triangle, one for each angle. These bisectors intersect at the incenter of the triangle.
No, bisectors cannot be used to find the area of a triangle. They only help in finding the measure of angles in a triangle. To find the area of a triangle, you need to know the length of at least one side and the height of the triangle.