In a triangle, the angle a is 56, the angle b is 78 which of the sides of the triangle is the smallest?
April 27, 2021 | education
| In a triangle, opposite large angles also lie large sides and vice versa.
Let’s find the angle C to determine which of the angles is the smallest.
The sum of the angles in the triangle is 180 °, angle A = 56 °, angle B 78 ° by condition.
A + B + C = 180 °.
C = 180 ° – (A + B);
C = 180 ° – (56 ° – 78 °);
C = 180 ° – 134 °;
C = 46 °;
46 ° <56 ° <78 °;
Angle C is the smallest, which means that the smallest side of the triangle lies opposite it.
Side AB is the smallest side of the triangle.
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