The areas of two similar triangles are 49 cm2 and 16 cm2. what is the ratio of the corresponding side lengths? of the perimeters

Question

alex41 [277]

3 years ago

13

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

Mathematics

1 answer:

Nikitich [7] · Answer 1 · 2022-03-03T15:21:06+03:00

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) <span>what is the ratio of the corresponding side lengths?
the ratio </span>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