Question

If the points (0, 0), (3, √3) and (3, t) form an equilateral triangle then find t.

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Answer 1

Step-by-step explanation:

all three sides of equilateral triangle are equal so we will take any two :

using distance formula √(0-√3)^2+(0-3)^2=√(3-3)^2+(√3-t)^2

squaring both sides we will get 3+9=0+3+t^2-2√3t

t^2-2√3t-9=0

t=√3+√12,√3-√12

I hope this would help..