Question

What is the area of the triangle whose vertices are D(−7, 3) , E(−7, 9) , and F(−11, 7) ? Enter your answer in the box.

Answer 1

The area of the triangle is 12 square units

Explanation:

I was gonna explain but just look at the answer above mine ^

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Answer 2

The area of triangle DEF is
`12` square units.

EXPLANATION

The area of triangle DEF can be found using the formula,

`Area=(1)/(2)* base * height`.

From the diagram, we can see that the height of the triangle is bounded between
`x=-7` and
`x=-11`.

We use the absolute value method to find the height to be,

`Height=|-7--11|=|-7+11|=|4|=4`.

The base of the triangle is |DE|.

We can again use the absolute value method to to determine the length of the base to be,

`Length=|9-3|=|6|=6`

We now calculate the area to obtain,

`Area=(1)/(2)* 6* 4 =3* 12=12`

Therefore the area of the triangle 12 square units