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To determine the equivalent expression for the area of square a, we will use the pythagorean theorem, given that these squares form a right triangle. Which expression is equivalent to the area of square a, in square inches 3 squares are positioned to form a right triangle The small square is labeled 10 inches, the medium is 24 inches, and the large square is unlabeled.
To find the expression equivalent to the area of square a, we need to understand a key property of squares and areas A square's area is calculated using the formula Area=s2 where s represents the length of one side of the square In this scenario, square a corresponds to the squares formed by the two smaller squares labeled with sides of 10 inches and 24 inches
The equivalent expression for the area of square a is '10 squared + 24 squared', derived using the pythagorean theorem because the three squares form a right triangle. This expression calculates the area of a triangle using the formula for the area of a triangle, which is 21 × base × height Plugging in the numbers results in 21 ×10 × 24 = 21 ×240 = 120 square inches.
The area of a square or rectangle is determined by multiplying the length and width In this case, the second expression (10(24)) aligns with the conventional calculation for determining area. The expression equivalent to the area of square a is d 242 + 452 because it represents the sum of the areas of the two smaller squares, aligning with the pythagorean theorem
This is an application of how to find the area of a larger square using the sides of smaller squares when they form a right triangle. The expression equivalent to the area of **square **a, in square inches, is 10 squared + 24 squared To find the area of square a, we need to determine the length of its side. The area of square a is represented by expression b:10(24) this is under the assumption that the square's area corresponds to these dimensions, especially since it is unclear whether square a directly relates to these expressions without having a side length provided.
The expression equivalent to the area related to the given dimensions is 10 times 24, which equals 240 square inches The first expression represents the area of a triangle, while the second represents the area of a rectangle Therefore, the correct choice is option b
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