Question

The areas of two similar
triangles are 25 cm^2 and 100
cm^2. If one side of the first
triangle is 4 cm, then find the
corresponding side of the
other triangle​

Answer 1

Answer:

the corresponding side of the other triangle is 8cm

Step-by-step explanation:

Given:-

The areas of two similar triangles are 25 cm^2 and 100cm^2. If one side of the first triangle is 4cm.

To find:-

find the corresponding side of the othe triangle

Using formula:-

The ratio of the areas of two similar triangles is equal to the ratios of squares of the corresponding sides

Solution:-

Given areas of two similar triangles are 25 cm² and 100 cm²

and one side =4cm

let the corresponding side=b cm

=>25/100=(4/b)²

=>1/4=16/b²

=>b²=16×4

=>b²=64

=>b²=8²

=>b=8 cm

Answer:-

the corresponding side of the other triangle is 8cm