SOLUTION: If A (2,5), B(-3,10) and C (-5,2) are vertices of a triangle, find its area
Algebra.Com
Question 1115402: If A (2,5), B(-3,10) and C (-5,2) are vertices of a triangle, find its area
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The area of a triangle with vertices (,), (,), (,) is:
In this case, A (,)=(,), B(,)=(,) and C (,)=(,), we have
A similar formula can be used to find the area of any polygon.
If you prefer not to use this formula, then another method is to use Distance Formula to find the length of each side:
side , , and
if
A (,)
B(,)
C (,)
since you have scalene triangle (no equal sides), you can also calculate the area from the lengths of all three sides using Heron's Formula
Calculate "s" (half of the triangles perimeter):
Then calculate the Area:
round it to whole number
RELATED QUESTIONS
If A(1,2), B(5,6) and C(-2,-5) are the vertices of a triangle ABC, find the area of... (answered by Alan3354)
If vertices of triangle are A(x, 4); B(2, - 6) and C(5, 4); find x. Area of triangle is... (answered by cleomenius)
Triangle ABC has its vertices at A(—7,2), B(-1,10) and C(14,2)
Find its... (answered by josgarithmetic)
if the vertices of a triangle are A (1,3) B (3,4) and C (1,-4) find its area.
A) 10... (answered by htmentor,Alan3354)
Find the area of the triangle with vertices
A(-2,-8)
B(-2,-3)... (answered by Alan3354)
The points A(-2, 3), B(6, -5) and (8, 5) are vertices of a triangle. Find the equations... (answered by math_helper)
Find the lengths of the sides of the triangle and area with the vertices A(-2,-3) B(6,1)... (answered by MathLover1)
The vertices of a triangle are A(0,4), B(0,-2), and C(5,1). Find the area of the... (answered by MathLover1)
Points A(1,1), B(6,2), C(8,5) form the vertices of a triangle. find the... (answered by CubeyThePenguin)