Posted by muna on Sunday, January 23, 2011 at 5:22pm.
the three points g(4,0) ,h(h,6) and i(7,1) are such that gh is twice as long as gi .calculate the two possible values of h.

coordinate geometry  Damon, Sunday, January 23, 2011 at 5:37pm
gi^2 = 3^2+1^2 = 10^2
gh^2 = 4 * 10^2
4*10^2 = (h4)^2 + 36
400 = h^2  8h + 36
h^2  8 h  364 = 0
h = [ 8 +/ sqrt(64+1456) ]/2
h = 4 +/ 19.5
h = 23.5 or 15.5
check my arithmetic !

coordinate geometry  hw, Sunday, January 23, 2011 at 5:40pm
using distance formula
d of GI= square root of 103.1622
twice this is the square root of 40
could be 6 or 2
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