Question

if two triangles are similar such that ratio of their areas 25:361, find the ratio of their corresponding medians​

Answer 1

Answer:

5 : 19

Step-by-step explanation:

Given if two triangles are similar such that ratio of their areas 25:361, find the ratio of their corresponding medians​

So we know that

(Length of first L1 / Length of second L2)^2 = Area of first A1 / Area of second A2

Now ratio of area is given by 25 : 361

So (L1 / L2)^2 = 25 / 361

Now L1/L2 = √25 / 361

So L1/L2 = 5 / 19

So the ratio will be 5 : 19