Question

Help, Grades due Friday!

Two triangles are similar. The lengths of the sides of the smaller triangle are 3 inches, 5 inches, and 6 inches, and the length of the longest side of the larger triangle is 18 inches. What is the perimeter of the larger triangle?
A.
14 inches
B.
18 inches
C.
24 inches
D.
42 inches

Answer 1

The perimeter of the larger triangle is 42 inches.

Explanation:

Since the question mentions that the two triangles are similar, we must establish proportions using what we already know.

Smaller triangle: 3 + 5 + 6 = 14

Larger triangle: x + y + 18 = perimeter

Determine the GCF (greatest common factor):

The GCF is 3.

Now, subsitute the values for x and y by solving via the GCF.

Larger triange: 9 + 15 + 18 = perimeter

9 + 15 + 18 = 42

Hope this helps; have a wonderful day!

Answer 2

42 (d)

Explanation:

the longest side of the smaller one is 6, each side of the larger one is just 3x the length of the smaller side. I hope that makes sense, it's just a ratio. Hope this helped! Good luck!