Question

An isosceles triangle has a vertical angle of 108 and a base 20 cm long. Solve for the base angles in calculated altitude.

Answer 1

Answer:

The base angles are 36° each

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and base angles to be equal.

If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.

Since the sum of angles in a triangle is 180°

The remaining angle in the triangle = 180°-108°

= 72°

Since the base angles are equal, this remaining two angles will share angle 72° equally.

The base angles = 72°/2

The base angles = 36°

This shows that the base angles are 36° each.