Question 923994: A triangle of base 6cm and height 1cm is given....a square is cut down from it tell the side of square Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Here is a triangle (triangle BCD) of base 6cm and height 1cm,
but it may not be your triangle.
Since the shape of the triangle was not specified,
I made mine an isosceles triangle of base 6cm).
I cut four squares out of it.
Does the size of the square matters?
The largest square I could make is the blue square.
Its side measures
BD=6 and AC=1 are the base and height of BCD
AC=(1/2)BD=3
ACD and DEC are similar right triangles, with leg lengths in the ratio of 1:3.
The side of the blue triangle is DE,
and AD=(1/2)DE.
With the 1:3 ratio, DC=3DE,
and since AD+DC=3,
(1/2)DE+3DE=3
DE+6DE=6
7DE=6
DE=6/7
