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4 years ago

The following octagon is formed by removing four congruent right triangles from a rectangle. What is the area of each triangle?

Mathematics

1 answer:

3241004551 [841]4 years ago

4 0

Answer:
2 cm squared

Explanation:
The question asks for the area of each small triangle in the corners(meaning 1 triangle, not 4) as shown from the dotted lines. The area of a triangle is found by (base*height)/2.
Looking at the diagram, the triangle is 2 cm for both the base and height, and the hypotenuse is not labeled. Because it is a right triangle, 2 cm is also the height(the height is defined as an altitude from the tip of the triangle to the base using a right angle). So, height=2 and base=2.
Plug these numbers into the formula bh/2.
bh/2=?
(2)(2)/2=?
4/2=?
2=?
Each triangle has an area of 2 cm squared.

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