## anonymous one year ago What is the area of this triangle

1. anonymous

2. anonymous

@pooja195 @muscrat123

3. anonymous

General formula for area of triangle is known to be : $Area of \triangle = \frac{ 1 }{ 2 } * base * height$ here the base would be the two points $(x_1,y_1) and (x_1,y_2)$ while the height would be like this photo|dw:1437417805118:dw|

4. anonymous

Let me know if U got it :)

5. anonymous

1/2(y3-y2)(x3-x1) 1/2(y3-y1)(x3-x1) 1/2(y3-y1)(x2-x1) 1/2(y2-y1)(x3-x1) 1/2(y2-y1)(x2-x1)

6. anonymous

What are the base and the height from Ur understanding ? :D

7. anonymous

i think its one of the last two choices, but leaning more towards the third choice

8. anonymous

fourth* choice sorry

9. anonymous

It's right , but give me your mathematical reason :)

10. anonymous

because u p[ointed out the base, and therefore the height was one of the two leftover sides, but the fourth choice made the most sense because the point X2 doesnt exist on the triangle shown. which only leaves the fourth choice, which is very logical since it gives me both the base and height. thanks so much!