Question

Two triangles have altitudes of equal length. if the areas of these triangles have a ratio of 3:4 then the bases of the triangles have the ration of what?

show work pleaseeee

Answer 1

Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4

Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.