SOLUTION: I need help I don't know where to start or what to do I need guidance. Triangle A,B, and C have the ratio of the sides of triangle A to triangle B is the same as ratio of the si

Algebra.Com
Question 1065303: I need help I don't know where to start or what to do I need guidance.
Triangle A,B, and C have the ratio of the sides of triangle A to triangle B is the same as ratio of the sides of triangle B to triangle C.
Triangle A has a base of 5 , Triangle B shows no base # , Triangle C has 45 as base.


Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
ratio of the sides are the same, therefore:

A/B = B/C

replace A with 5 and C with 45 and you get:

5/B = B/45

cross multiply to get B^2 = 5*45

simplify to get B^2 = 225

take the square root of both sides of the equation to get B = sqrt(225).

simplify to get B = 15.

the base of A is 5.
the base of B is 15.
the Base of C is 45

the ratio of A to B is 5/15 = 1/3.

the ratio of B to C is 15/45 = 1/3.

the ratios are the same.

your solution is that the base of triangle B = 15.




RELATED QUESTIONS

One equilateral triangle has sides 5 ft long. Another equilateral triangle has sides 7 ft (answered by jim_thompson5910)
Hello, I have a question that I am having a lot of trouble with. I'll give you the... (answered by solver91311)
Hello, I have a question that I am having a lot of trouble with. I'll give you the... (answered by oscargut,Fombitz)
I have a square, divided up into 4 quadrants and need to know which quadrant a point lies (answered by Edwin McCravy)
A bag contains 4 red marbles, 7 green marbles, and 11 blue marbles. Find the probability... (answered by solver91311)
ok I have the factors of 12 but i dont know what to do with the 2/3 power. log5... (answered by stanbon)
What is the distribution of the weights of a sample of 1,300 cargo containers is... (answered by Solver92311)
Hello! I have tried this problem over and over again but I can't seem to get it. Please... (answered by longjonsilver)