The vertices of a triangle are (-2,0), (2,3) and(1,-3) .Is the triangle equilateral isosceles or scalene?Also find the area of the triangle
Answers
Area will be 10.5 units
Answer:
Scalene triangle
Area = 10.49 square units
Step-by-step explanation:
The vertices of triangle are (-2,0), (2,3) and(1,-3)
Let Point A = (-2,0)
Point B = (2,3)
Point C = (1,-3)
Now to find sides of triangle we will use distance formula :
Now find the length of AB
So, A =
B =
Substitute the values
So, AB = 5 units
Now to find BC
B =
C =
Substitute the values
BC = 6.08 units
To Find AC
A =
C =
Substitute the values
AC = 4.24 units
So, the sides of the triangle are 5 units , 6.08 units and 4.24 units
Since all the side are of unequal length
So, the triangle is scalene triangle
Now to find area of triangle we will use heron's formula:
Where
a,b,c are the side lengths of triangle
a =5
b=6.08
c = 4.24
Now substitute the values :
Hence the area of the triangle is 10.49 square units