SOLUTION: The ratio of one side of triangle ABC to the corresponding side of similar to triagle DEF is 3:5. The perimeter of triangle DEF is 48 inches. What is the perimeter of triangle ABC?

Algebra.Com
Question 271179: The ratio of one side of triangle ABC to the corresponding side of similar to triagle DEF is 3:5. The perimeter of triangle DEF is 48 inches. What is the perimeter of triangle ABC?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Since they are similar triangles, the ratio of any side of ABC to
the corresponding side of DEF is the same. 

Let the sides of ABC be a,b, and c.
Let the sides of DEF be d,e, and f,

Perimeter of ABC = a+b+c
Perimeter of DEF = d+e+f, given = 48

Then 

, , and 

, , and 

So



Edwin

RELATED QUESTIONS

Please help me solve this problem..... The ratio of one side of triangle ABC to the... (answered by Alan3354)
Triangle ABC is similar to triangle DEF. The lengths of the sides of ABC are 5, 8, and... (answered by Fombitz)
ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the... (answered by harpazo)
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the... (answered by Theo)
triangle ABC is similar to triangle DEF whose sides are 3,7,and 6. What is the perimeter... (answered by cleomenius)
if triangle ABC which are 60,30,12 is congruent to triangle DEF which of the following... (answered by JBarnum)
I am trying to find the perimeter of the given triangle. If triangle ABC is similar to... (answered by math_helper)
Triangle ABC has side lengths 14, 8, and 10.4. What are possible side lengths of triangle (answered by edjones)
Triangle ABC is similar to triangle DEF. The perimeter of DEF is 108 centimeters. What is (answered by MathLover1)