SOLUTION: the two shortest sides of a right triangle are 10 in. and 24 in.long.what is the lengh of the shortest side of a similiar rigt trangle whose two longest sides are 36 in. and 39 in.

Algebra ->  Triangles -> SOLUTION: the two shortest sides of a right triangle are 10 in. and 24 in.long.what is the lengh of the shortest side of a similiar rigt trangle whose two longest sides are 36 in. and 39 in.      Log On


   

Question 305690: the two shortest sides of a right triangle are 10 in. and 24 in.long.what is the lengh of the shortest side of a similiar rigt trangle whose two longest sides are 36 in. and 39 in.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a(10,24,X)=(Y,36,39)
where a is the scaling factor.
From the middle pair,
a%2824%29=36
a=36%2F24=3%2F2
Then
10a=Y
10%283%2F2%29=Y
Y=15
and
aX=39
%283%2F2%29X=39
X=39%282%2F3%29
X=26
The two triangles are (10,24,26) and (15,36,39)