Area of triangle is [tex]50 units^2[/tex] .
Step-by-step explanation:
Here we have , Triangle ABC is a right triangle The length of BC is 5 units. We need to find the area of ABC .Let's find out:
Given in the picture is a right angled triangle
The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)
Given that BC = 5 units
AB = distance between A and B
distance between two points (-9,10) and (7,-2)
⇒ [tex]\sqrt{(-9-7)^2+(10-(-2))^2}[/tex]
⇒ [tex]\sqrt{(16)^2+(12)^2}[/tex]
⇒ [tex]20[/tex]
Thus if we consider BC as base then AB is the height
Area of triangle
⇒ [tex]\frac{1}{2} bh[/tex]
⇒ [tex]\frac{1}{2} 20(5)[/tex]
⇒ [tex]50 units^2[/tex]
Therefore , Area of triangle is [tex]50 units^2[/tex] .
