the construction of a triangle is not possible when measure of 3 angles are given why
Dear Student,
A unique triangle cannot be drawn if only the three angles of a triangle are given. Actually, if three angles are given it is same as giving two angles. The third angle is simply redundant because the angles of a triangle add up to 180 degrees. We require at least one side so that we can determine the lengths of the triangle. Else determining the exact position of the vertex from base or length of the base is not possible. We will have to assume the length of the base for drawing such a triangle. So, no unique triangle is possible.
Regards,
A unique triangle cannot be drawn if only the three angles of a triangle are given. Actually, if three angles are given it is same as giving two angles. The third angle is simply redundant because the angles of a triangle add up to 180 degrees. We require at least one side so that we can determine the lengths of the triangle. Else determining the exact position of the vertex from base or length of the base is not possible. We will have to assume the length of the base for drawing such a triangle. So, no unique triangle is possible.
Regards,