Question

The base of an isosceles triangle is 9 and its perimeter 49. The base of a similar isosceles triangle is 14. What is the missing perimeter of the other triangle? ​

Answer 1

Answer: 76.2

Step-by-step explanation:

Perimetar of isiscales triangle is calculated using  equation;

P=b+2a

b=9

P=49

lets find sides of triangle.

P-b=2a

a=(P-b)/2

a=49-9/2

a=40/2=20

If another triangle is similar that means that his base and sides are proportional to first triangle.

Base of first trianlge b₁=9

Base of similar triangle is b₂=14

use proportion to find out side of similar triangle:

b₁:b₂=9:14

a₁:a₂=9:14

a₁=20

20: a₂=9:14

a₂=14*20/9=280/9=31.1

Perimetar of second triangle is:

P₂=b₂+2a₂

P₂=14+2*31.1=14+62.2=76.2