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yuradex [85]
3 years ago
8

Find the area of the triangle with the vertices (2,1), (10,-1), and(-1,8).

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

The area of triangle is 25 square units.

Step-by-step explanation:

Given information: Vertices of the triangle are (2,1), (10,-1), and (-1,8).

Formula for area of a triangle:

A=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

The given vertices are (2,1), (10,-1), and (-1,8).

Using the above formula the area of triangle is

A=\frac{1}{2}|2(-1-8)+10(8-1)+(-1)(1-(-1))|

A=\frac{1}{2}|2(-9)+10(7)+(-1)(1+1)|

A=\frac{1}{2}|-18+70-2|

On further simplification we get

A=\frac{1}{2}|50|

A=\frac{1}{2}(50)

A=25

Therefore the area of triangle is 25 square units.

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