Line segment BD – height of isosceles triangle ABC, angle ABD = 34 ° AD 8 cm.

Line segment BD – height of isosceles triangle ABC, angle ABD = 34 ° AD 8 cm. Find angle DBC, angle ABC and base AC.

Since the triangle is isosceles, the height drawn to the base is also the bisector and median. This means that the ABD angle is equal to the DBC angle, i.e. 34 °.

Angle ABC will be equal to the sum of angles ABD and DBC, i.e. 34 + 34 = 68 °.

And since the height is also the median, the AC will be equal to 8 + 8 = 16cm.

Answer: a) 34 °; b) 68 °; c) 16cm.