- #1
adjacent
Gold Member
- 1,552
- 63
Homework Statement
The points O,A and B are vertices of an equilateral triangle. Find a and b
O=(0,0)
A=(a,11)
B=(b,37)
Homework Equations
##c^2=a^2+b^2##
The Attempt at a Solution
Let AB =c
Then ##c=\sqrt{(a-b)^2+(11-37)^2}=\sqrt{(a-b)^2+676}##
Since it is an equilateral triangle, OA and OB is also =c
So ##c=\sqrt{11^2+a^2}##
##c=\sqrt{37^2+b^2}##
##\sqrt{(a-b)^2+676}=\sqrt{11^2+a^2}=\sqrt{37^2+b^2}##
I have got to know that ##a^2+b^2=1248##, but what next?
I need to find at least one variable to find the other.