Question

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.
One-half (10) (24)
10 (24)
(10 + 24) squared
10 squared + 24 squared

Answer 1

We consider the right-angled triangle ΔPQR.

Given:

• PQ = 10 inches
• QR = 24 inches

To find: the area of the square A.

Solution:

Here, ΔPQR is a right-angled triangle, whose

• height, PQ = 10 inches
• base, QR = 24 inches
• hypotenuse, PR = ?

Using Pythagorean theorem, we write

PR² = PQ² + QR²

⇒ area of the square A = 10² + 24²

[ since PR is one side of the A square ]

∴ the required expression equivalent to the area of the square A in inches is (10² + 24²).

∴ Option D is correct.

Answer 2

Answer:

The correct answer is D. 10^2 + 24^2

Step-by-step explanation:

right on edge 2023