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Which could be the areas of the smaller squares?

Which could be the areas of the smaller squares?-example-1
Which could be the areas of the smaller squares?-example-1
Which could be the areas of the smaller squares?-example-2
User Aaplmath
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2 Answers

3 votes
Gmany is right , just letting you know !
User Simleo
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4 votes

Answer:

A, B

Explanation:

We have a right triangle. Therefore, we can use the Pythagorean theorem:

The sum of the areas of the squares built on the legs is equal to the area of ​​the square built on the hypotenuse.

We have the area of the largest square (the square built on the hypotenuse).

A₃ = 36 u²

From the Pythagorean therem we have the equation:

A₃ = A₁ + A₂

We need the areas of the smaller squares (A₁ and A₂).

A₁ + A₂ = 36.

From the second picture, we have:

A) 6 and 30 → 6 + 30 = 3 CORRECT

B) 8 and 28 → 8 + 28 = 36 CORRECT

C) 4 and 16 → 4 + 16 = 20 ≠ 36 INCORRECT

User Karim Bahgat
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