Question

If the ratio of areas of two equilateral triangles is 25:36, then find the ratio of heights of the triangles


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Answer 1

Answer:

equilateral triangles is 25:36, then find the ratio of heights of the triangles

Answer 2

Answer:

5:6

Step-by-step explanation:

Let the sides of the equilateral triangle be a and b respectively Then

43b243a2=3625⇒ba=65

If h1 and h2 be their altitudes Then 21×b×h221×a×h1=3625

⇒6h25h1=3625⇒h2h1=3625×6