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4. Which of the following could be the areas of the three squares shown?

4. Which of the following could be the areas of the three squares shown?-example-1
User Shura
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1 Answer

1 vote

Answer:

Option (A)

Explanation:

Three squares shown in the figure are formed on the sides of the given right triangle.

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Area of the square on the hypotenuse = Area of the square on the leg 1 + Area of the square on leg 2

Option (A).

95 = 40 + 55

True.

Option (B).

45 ≠ 35 + 25

False.

Option (C).

100 ≠ 10 + 10

False.

Option (D).

1200 ≠ 40 + 30

False

Therefore, Option (A) shows the areas of three squares.

User Regeirk
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