Area of Squares Pythagorean Theorem

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

The Pythagorean Theorem is

a² + b² = c²

• false

• true

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

*Hint - You could plug the values into the Pythagorean Theorem.

• yes

• no

What is the formula for finding the hypotenuse?

• a² + b² = c²

• a + b = c

• a - b = c

• c - b = a

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²

• 105 cm²

• 135 cm²

• 30 cm²

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

• 12 in²

• 144 in²

• 194 in²

• 13.9 in²

Find the area.

Determine the area of the square with a

side length of 19 meters.

(*Hint: all the sides are the same on a square.)

• A = 6,859 meters squared

• A = 38 meters squared

• A = 19 meters squared

• A = 361 meters squared

The area of a square is 41 square inches. Which value is closest to the length of each side of the square? Round to the nearest tenth if necessary.

Mathematical Equivalence

OFF

The school is planning a new playground. The playground will be in the shape of a square that measures 18 m on a side. What will be the area of the new​ playground?

How many meters squared is the area of the park?

Just type the number.

Mathematical Equivalence

ON

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