Question

Which is true about the triangles’ perimeters?

2 triangles labeled Triangle A and Triangle B.
Triangle A has 3 sides, each labeled 9 kilometers.
Triangle B's base is labeled 15 kilometers. Its other 2 sides are each labeled 8 kilometers.
The perimeter of Triangle A is equal to the perimeter of Triangle B. The perimeter of Triangle A is 3 kilometers less than the perimeter of Triangle B. The perimeter of Triangle A is 4 kilometers less than the perimeter of Triangle B. The perimeter of Triangle A is 9 kilometers less than the perimeter of Triangle B.

Answer 1

Explanation:

let x be the common ratio / or scale factor

the sides of the triangle are

5x, 12x and 13x

sum of the sides defines perimeter

that is

5x + 12x + 13x = 15

30x = 15

x = 15/30

x = 0.5

The sides of the triangle are 0.5(5) = 2.5

0.5(12)=6

0.5(13) = 6.5

2.5, 6, 6.5 all in inches