Question

If two vertex of equilateral triangle are (C, a) and
(2C, -a), then third vertex will be

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Answer 1

Step-by-step explanation:

let X(C,a) and Y(2c,-a) and third vertex Z(g,f)

Equilateral triangle means all three sides have same length and mid point

so using mid point formula

mid point of XY is

(C+2C/2, a-a/2)=(3C/2,0)

mid point of XZ

(C+g/2, a+f/2)

because triangle is equilateral so there mid point will be equal to each other

so

C+g/2= 3C/2

C+g=3C

g=3C-C

g=2C

and

a+f/2=0

a+f=0

f=-a

so third vertex will be

(g, f) =(2C,-a)