Math, asked by ratneshsinha264, 10 months ago

ABC is an equilateral triangle in which the vertices of A is(3,2), B is (5,-6) . find the vertices of C​

Answers

Answered by honeyr
1

first find distance of A and B

now equal the answer of distance A and B to the distance of A and C.

hope u like this answer

Answered by itzshrutiBasrani
2

Step-by-step explanation:

The ordinates of both B & C are 0. 

So, BC= (abscissa of B−abscissa of C)=(5−1)=4units=a

The side of equilateral ΔABC. 

its \: height \:  =  \frac{ \sqrt{3} }{2} a =  \frac{ \sqrt{3} }{2}  \times 4 = 2 \sqrt{3}  \: units \: .

also \: the \: mid \: point \: of \: bc \:  = ( \frac{5 + 1}{2}  \:  \frac{0 + 0}{2} ) = (3 \: or \:  \: 0)

Now, ΔABC is equilateral and BC is on the x-axis. 

So, the abscissa of A will be the mid point of BC.

The ordinate of A will be the height of ΔABC from the mid point of BC.

∴ The coordinates of A are (3,23)

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