Question

find the area of triangle formed by the vertices (4,5),(10,12),(-3,2)​

Answer 1

Answer:

15.5

Step-by-step explanation:

1/2(4(12-2)+10(2-5)-3(5-12))

1/2(40-30+21)

1/2(31)

31/2

15.5

Answer 2

The area of the triangle is 15.5 units².

Given:

• The area of triangle formed by the vertices (4,5),(10,12), and (-3,2).

To find:

• Find the area of the triangle.

Solution:

Formula to be used:

Area of triangle ABC,having vertices $A(x_1,y_1), B(x_2,y_2) \: and \: C(x_3,y_3)$ is $\bf Ar.(\triangle ABC)= \frac{1}{2}|(x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) |$

Step 1:

Write the given values.

Let the triangle is ABC.

The coordinates of triangle are A(4,5), B(10,12) and C(-3,2).

Step 2:

Find the area of triangle.

Put the values in the formula.

$Ar.(\triangle ABC)= \frac{1}{2} |4(12 - 2) + 10(2 - 5) - 3(5 - 12) |$

$Ar.(\triangle ABC)= \frac{1}{2} |(4 \times 10) - ( 10 \times 3) + (3 \times 7) |$

$Ar.(\triangle ABC)= \frac{1}{2} |40 - 30 + 21 |$

$Ar.(\triangle ABC)= \frac{1}{2} |31 |$

$\bf Ar.(\triangle ABC)= 15.5$

Thus,

The area of triangle is 15.5 unit².

Learn more:

1) Find the area of the triangle whose vertices are (1,0),(6,0)and(4,3)

https://brainly.in/question/16827510

2)Find the area of triangle abc whose vertices are a(1,2) b(-2,3) c(-3,-4)

https://brainly.in/question/8488575

#SPJ3