SOLUTION: If I have one right triangle with a base of 24cm and a height of 16cm and another triangle with a base of 9cm, what is the scale factor? Note both triangle have 30, 60 and 90 degr

Algebra ->  Triangles -> SOLUTION: If I have one right triangle with a base of 24cm and a height of 16cm and another triangle with a base of 9cm, what is the scale factor? Note both triangle have 30, 60 and 90 degr      Log On


   



Question 866175: If I have one right triangle with a base of 24cm and a height of 16cm and another triangle with a base of 9cm, what is the scale factor? Note both triangle have 30, 60 and 90 degree angles
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Both are the 30-60-90 type, so they are similar.

Comparing base to base and height to height
24%2F9=16%2Fh, IF you wanted to know the height of the "another triangle". You are looking for the scale factor in going from the first ratio to the "another" ratio, so focus attention just on the 24 and the 16.

What is the factor k so that 24%2Ak=16?
Solve for k.
k=16%2F24
k=4%2F6
highlight%28k=2%2F3%29