Isosceles Triangle ABC: Calculate and Classify the 45° Vertex Angle

Question

Triangle ABC isosceles.

AB = BC

Calculate angle ABC and indicate its type.

45°45°45°AAABBBCCC

Video Solution

Step-by-Step Solution

Given that it is an isosceles triangle:AB=BC AB=BC

It is possible to argue that:BAC=ACB=45 BAC=ACB=45

Since the sum of the angles of a triangle is 180, the angle ABC will be equal to:

1804545=90 180-45-45=90

Since the angle ABC measures 90 degrees, it is a right triangle.

Answer

90°, right angle.