Question

find the measures of the angles of an isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 4

Answer 1

base angles: 30°, apex angle: 120°

Explanation:

The sine of each base angle is 4/8 = 1/2. The angle whose sine is 1/2 is 30°, so each base angle is 30°.

The remaining angle is 180°-2·30° = 120°.