Sasha says that she drew an acute isosceles tringle with lengths of 6 cm, 9 cm, and 12 cm and angles of 30, 50, and 100, degrees, Danielle says that is not possible. Explain in 4 sentences using sides and angles, who is correct.
Danielle is correct. In a triangle, the sum of all angles must be 180 degrees. However, in this case, the sum of 30, 50, and 100 degrees is equal to 180 degrees, meaning the angles are valid. When it comes to the sides, in an acute triangle, the longest side is always opposite the largest angle. But in this case, the longest side of 12 cm is opposite the angle of 30 degrees, which is not the largest angle. Therefore, it is not possible for Sasha to have drawn an acute isosceles triangle with these given lengths and angles.
