Question

Question 1(Multiple Choice Worth 4 points)

(05.01)Which statement best describes the area of the triangle shown below?

A coordinate grid is shown with a triangle.The base is 4 units, and the height is 4 units.

It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.

Answer 1

B.) It is one-half the area of a square of side length 4 units.

It is because, both sides (base & height are same)

Hope this helps!

Answer 2

It is one-half the area of a square of side length 4 units.

Explanation:

If it is a right triangle, its base and its height can be considered as the base and width of a rectangle. In the case that the base and height are exactly the same then that rectangle becomes a square. Now, the area of the triangle is always half the area of a parallelogram. Since the base and the height of the triangle are equal then the pralelogram is a square.

Conclusion: The area of the triangle is half the area of a square.