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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?

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? Correct Answer 25 cm

Height and Distance mcq solution image
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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