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The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm2. What is the area of ABH?

A. 20 cm2

B. 16 cm2

C. 8 cm2

D. 6 cm2

E. 4 cm2

The figure shows eight congruent triangles made by dividing a square that has an area-example-1

2 Answers

1 vote

Answer:

C. 8 cm2

Explanation:

If the big square is 64 cm2, then each side is 8 cm (8cm x 8cm = 64 cm2)

Each of the small squares then has both sides of half the side of the big one, then, each small square has 4cm x 4cm = 16 cm2

Ihen, each small triangle's area (such as ABH) is (b.h)/2, being the base and the height equal to the sides of the small square. Each small triangle is (4cm x 4cm)/2=8cm2

User Liam De Haas
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7.0k points
2 votes

The answer is C) 8 cm squared.

That is because 64/8 = 8 cm squared. Hope this helps!!!

User Sayris
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