7 square units
<h3>
Further explanation</h3>
Let us find out the area of triangle ABC using an alternative method.
We divide the triangle ABC into three triangles, which are:
- AOC triangle as a right triangle
- AOB triangle as an obtuse triangle
- BOC triangle as an obtuse triangle
We prepare the base and height of each triangle.
ΔAOC
- Base = 2 units
- Height = 4 units
ΔAOB
- Base = 2 units
- Height = 1 units
ΔBOC
- Base = 4 units
- Height = 1 units
To recall the base and height of an obtuse triangle, look at the attached picture.
The formula of area of triangle is
Let us calculate the area of each triangle.
The area of triangle AOC =
The area of triangle AOB =
The area of triangle BOC =
And now, let us find out the area of triangle ABC.
The area of ΔABC = the area of ΔAOC + the area of ΔAOB + the area of ΔBOC
The area of ΔABC = 4 + 1 + 2
The area of ΔABC = 7
Thus, the area of triangle ABC is 7 square units.
<h3>Learn more</h3>
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
- Find out the area of a parallelogram brainly.com/question/4459688
- Find out the area of a cube brainly.com/question/12613605#
Keywords: what, the area of triangle ABC, right, obtuse, base, height, formula, alternative method