Answer:
Explanation:
The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.
height² + base² = diagonal²
height² +24² = 26²
height² = 676 -576 = 100
height = √100 = 10
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The area is the product of the base and height.
A = bh
A = (24)(10) = 240
The height is 10 units; the area is 240 square units.