Discussion
Ramesh and Suresh’s mud forts have heights 8cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?
Answer: C
Drop a horizontal from the shorter fort's top to the taller one. That gives a right triangle whose legs are the ground gap and the height difference.
\[ \text{height difference} = 15 - 8 = 7 \text{ cm}, \qquad \text{ground gap} = 24 \text{ cm} \]
\[ d = \sqrt{24^{2} + 7^{2}} = \sqrt{576 + 49} = \sqrt{625} = 25 \text{ cm} \]
7-24-25 is a Pythagorean triple, which is why the answer comes out exact. Answering 24 cm ignores the height difference; 31 cm adds the numbers instead of squaring them.
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