Question

find the equation of right angled isosceles triangle whose vertex is (-2,-3) and whose base is x=0​

Answer 1

Answer:

Step-by-step explanation:

It helps to draw a graph.  Plot the given point (-2,-3) and notice that it is the point where the right angle  (90 degree angle)  is, in order for both sides to be equal.  

That means each side slopes at a 45 degree angle and -45 degree angle,  (half of 90 degrees)   45 degree slope = a slope of 1,  -45 degree slope = -1 slope.   An isosceles triangle has 2 sides equal, and 2 angles equal.  90/2=45 degrees  

Use the point slope formula for the two lines

y-(-3) = 1(x-(-2))   or y+3=x+2    or x-y=1

the other line has slope -1

y+3=-(x+2)   or y+3=-x-2    or x+y=-5