Question

The areas of two similar triangles are 49 cm2 and 16 cm2. what is the ratio of the corresponding side lengths? of the perimeters?7 : 4; 7 : 1649 : 16; 16 : 497 : 4; 7 : 449 : 16; 49 : 4

Answer 1

We know that

[area of larger triangle]=[scale factor]²*[area of smaller triangle]
[scale factor]=√[area of larger triangle/area of smaller triangle]
[scale factor]=√[49/16]-----> 7/4

Part A) what is the ratio of the corresponding side lengths?
the ratio of the corresponding side lengths is equals to the scale factor

the answer Part A) is 
the ratio of the corresponding side lengths is 7/4

part B)what is the ratio of the perimeters?
 the ratio of the perimeters is equals to the scale factor

the answer Part B) is 
the ratio of the perimeters is 7/4