find perimeter of simialr triangles

Question

isoscles triangle has 2 sides length of 16 cm and base of 12cm. base of similar triangle is 9 cm. what is perimeter of similar triangle?

Answer 1

Given isoscles triangle has lengths are n order 16cm,16cm,12cm

Permeter of given trangle  = a+b+c

= 16+16+12 = 44cm

And given base of similar triangle is 9cm.

Similar triangles have a scale of factor a:b, then the ratio of perimeters is a:b.

12:9

Let periimeter of similar triangle is x.

And the triangles are isocles.so the remaing side lenth is equal and it is also x.

we are able to write 44:x = 12:9

x = (44*9)/12

x = 396/12

x = 33

Perimeter of similar triangle = 33cm