anabellemenciere
Answered

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In this diagram the big square is divided into 7 congruent small squares and two congruent triangles. The area of the shaded square is 4sq cm. What is the area of the shaded triangle?

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In This Diagram The Big Square Is Divided Into 7 Congruent Small Squares And Two Congruent Triangles The Area Of The Shaded Square Is 4sq Cm What Is The Area Of class=

Sagot :

lunathemoonchild13
Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.

Square root of 4 is two

Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.

The formula of the area of a triangle is:
1/2 ( base times height)

Let’s plug in some values

1/2(6 * 6)

Multiply

1/2 (36)

Divide

18

Since the triangles are also congruent, then the shaded side has the same area.

The shaded triangle has an area of 8 cm ^2
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