Question

the 3 vertices of ABC are A(1,4)B(-2,2)C(3,2) plot these on a graph paper and calculate the area of ABC​

Answer 1

in triangle ABC

height =2 cm

base = 5cm

area= 1/2* base *height

= 1/2*5*2

= 5cm²

Answer 2

The area of triangle ABC is 5 square units.

Step-by-step explanation:

The vertices of a triangle are A(1,4), B(-2,2), C(3,2).

Area of a triangle is

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

Using this formula the area of triangle ABC is

$A=\dfrac{1}{2}|(1)(2-2)+(-2)(2-4)+(3)(4-2)|$

$A=\dfrac{1}{2}|(1)(0)+(-2)(-2)+(3)(2)|$

$A=\dfrac{1}{2}|0+4+6|$

$A=\dfrac{1}{2}(10)$

$A=5$

Therefore, the area of triangle ABC is 5 square units.

#Learn more

Find the area of the right angled triangle with vertices A(-1,2), B(3,2) and C(3,7).

https://brainly.in/question/8473039