the ratio of sides of triangle is 2:3:4 and shortest is 4 cm find other two Sides

Question

The hanks

Answer 1

Kk, if I say there is a 2:5 ratio of red pencils to blue pencils and there are 15 blue pencils, then there must be 6 red, because 15 is 3 x 5, so we must do 3 x 2.

 

We have a ratio of 2:3:4. Since the shortest side is 4, it must go in the place of the smallest number, 2 in this case.

 

Since 4 is double 2, we must double the other numbers.

 

The other two sides are 6 and 8.

 

Hope this helps!

Answer 2

Let a, b, and c be the 3 sides of the triangle from smallest (a) to largest (c).  We are given that a = 4 cm.  The ratio of the middle side (b) to the shortest side (a) is 3:2.  Hence we have the proportion:

 

     3/2 = b/a

     3/2 = b/(4 cm)

     (3/2)*(4 cm) = b

 

     6 cm = b

 

The ratio of the longest side (c) to the middle side (b) is 4:3.  We know that b = 6 cm.

 

     4/3 = c/b    

     4/3 = c/(6 cm)

     (4/3)*(6 cm) = c

 

     8 cm = c