SOLUTION: Please help me figure this out. A triangle has an area of 24cm^2. By what scale factor must each of the dimension of the triangle be multiplied to give a similar triangle so

Algebra ->  Triangles -> SOLUTION: Please help me figure this out. A triangle has an area of 24cm^2. By what scale factor must each of the dimension of the triangle be multiplied to give a similar triangle so       Log On


   

Question 121545: Please help me figure this out.
A triangle has an area of 24cm^2. By what scale factor must each of the
dimension of the triangle be multiplied to give a similar triangle so
that the area is increased by 360cm^2?
Answers:
a) 3.9
b) 4
c) 8
d) 15
e) 16
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
360%2F24=15, so if %28bh%29%2F2=24 then 15%2A%28bh%2F2%29=360. Since each of the dimensions must be multiplied by the same scale factor and the product of the scale factors must be 15, we have %28b%2Asqrt%2815%29%2Ah%2Asqrt%2815%29%29%2F2=360. Of the given answers, a is the closest, although sqrt%2815%29 is the exact answer.