Question : Asha and Suman's mud forts have 9 cm and 16 cm heights. If the fort tops are 25 cm apart from each other, then the distance (in cm) between the two forts is:
Option 1: 24
Option 2: 16
Option 3: 25
Option 4: 7
Correct Answer: 24
Solution : Let the distance the fort CD be $x$. (Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2 ⇒ 25 2 = (Base) 2 + (16 – 9) 2 ⇒ (Base) 2 = 625 – 49 = 576 ⇒ Base = 24 cm So, the distance between the forts is 24 cm. Hence, the correct answer is 24.
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Question : Asha and Suman's mud forts have heights of 9 cm and 16 cm. They are 24 cm apart. How far (in cm) are the fort tops from each other?
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