# A(1,0),B(-1,2)and C (x,y) is a vertices of a triangle. it is known that AB=AC and straight line that pass through A and C has gradient 1, find the possible coordinates for point C

1
dari Darwisy17

## Jawapan

2016-05-01T12:36:24+08:00

### Ini Jawapan Diperakui

Jawapan diperakui mengandungi maklumat yang boleh dipercayai dan diharapkan yang dijamin dipilih dengan teliti oleh sepasukan pakar. Brainly mempunyai berjuta-juta jawapan berkualiti tinggi, semuanya disederhanakan dengan teliti oleh ahli komuniti kami yang paling dipercayai, tetapi jawapan diperakui adalah terbaik di kalangan terbaik.
Logically there will only be 2 possible points for C

1.Find the equation for the  straight line that  pass A and C
you will get y = x - 1

2.We know that the triangle is isosceles triangle since AB = AC
So its mean that equation for straight line of AB is y = -x + 1

3.Actually 1. and 2. doesnt matter in this question..XD
As long as you know that B and C₁ is a straight line that parallel to y-axis and B and C₂ is a straight line that parallel to x-axis

4.So, you just need to use pythagoras theorem in this case...
You will get half the distance of BC₁ and BC₂ is 2 unit

5.Then, the coordinates of C are obviously C₁(-1,-2) and C₂(3,2)