Question

The areas of two similar triangles are 144unit squire and 81units squire a)what is the ratio of their perimeter?
b)if the side of the first is 6 unit long,what is corespondin side of the second?

Answer 1

Answer:

area( abc)/area(pqr) = (ab/pq)2

so,

(144/81) = (ab/pq)2

(12/9)2=(ab/pq)2

power is cancelled now

(ab/pq)=12/9

we know that ratio of the perimeter of two triangle is equal to the area of their corresponding sides.

hence, the ratio of their perimeter is 12/9

Now,

according to the question,

12/9 = 6/x

x=54/12

x=4.5

hence, corresponding sides of the second is 4.5 unit

Answer 2

• Answer:

Step-by-step explanation:

a.P1/P2=√A1/A2

P1/P2=√144UNITS²/81UNITS²

P1/P2=12/9

b.P1/P2=AB/EF

12/9=6/EF

EF=6×9/12

EF=4.5 UNIT