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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