Question

Q6 The area of two similar
triangles are 25 sq cmand 121 sq
cm. Find the ratio of their
corresponding medians.
*​

Answer 1

Answer:

5:11

Step-by-step explanation:

the ratio of areas of two similar triangles is the square of corresponding side's ratio. for example, Let ΔABC and ΔDEF are two similar triangles then,

ΔABC/ΔDEF = AB²/DE² = BC²/EF² = AC²/FD²

Here,area of two similar triangles are 25cm² and 121 cm² Let ∆ABC = 25cm² and ∆DEF = 121cm²

so, ∆ABC/∆DEF = AB²/DE²

or, 25/121 = AB²/DE²

or, (5/11)² = AB²/DE²

or, AB/DE = 5/11

hence, ratio of their corresponding sides is 5 : 11