Question

The area of triangle ABC formed by A(0,5) ,B(-3,0)& C(5,0) is; ​

Answer 1

Answer:

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Answer 2

Given:

A(0,5) ,B(-3,0) & C(5,0)

To find:

Triangle's area

Solution:

The required area is 20 sq units.

We can obtain the triangle's area by using the following formula-

Required area=1/2×|(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|

We have the triangle's coordinates and the given points can be written as-

A=(x1, y1)=(0, 5)

B=(x2, y2)=(-3,0)

C=(x3, y3)=(5, 0)

We will substitute the values in the formula to calculate the area.

Using the values, we get

Area=1/2×|(0(0-0)+(-3)(0-5)+5(5-0)|

=1/2×|(0+15+25)|

=1/2×|40|

=40/2

=20 sq units

Therefore, the required area is 20 sq units.