Question

The areas of two similar triangles are 9 cm² and 25cm² respectively. Find the ratio of their corresponding heights.​

Answer 1

Answer:

Answer is 3:5

Step-by-step explanation:

A1 : A1 = H1² : H2²

so, 9 : 25 = H1² : H2²

Thus, H1 : H2 = 3:5

Answer 2

Answer:

3 : 5

Step-by-step explanation:

Since the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding heights

= Area of triangle 1 / Area of triangle 2 = (H1/ H2)²

= 9/25 = (H1/ H2)²

= H1 / H2 = 3/5

Ratio of corresponding heights is 3: 5

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