In triangle ABC, AB = 15, BC = 20, and AC = 20. Find the length of the shortest altitude in this triangle.
You have 3 sides of an isosceles triangle.
Find the area by using "Heron's Formula"
Once you get the area, then:
[2 x area] / 15 = 1st height
[2 x area] / 20=2nd height
[2 x area] / 20=3rd height.
Take it from here.