Ramesh and Suresh s mud forts have heights 8 cm and...

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Ramesh and Suresh’s mud forts have heights 8 cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?

A. 31 cm

B. 24 cm

C. 25 cm

D. 24.5 cm

Answer: Option C

Solution(By Examveda Team)

Let MN = Ramesh's fort & PQ = Suresh's fort
From the diagram we can see that
MR = 24 cm & PR = 15 - 8 = 7 cm
By Pythagoras theorem,
Hypotenuse² = (side1)² + (side2)²
$$\eqalign{ & \therefore {\text{MP}} = \sqrt {{{24}^2} + {7^2}} \cr & \therefore {\text{MP}} = 25\,{\text{cm}} \cr} $$

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