Asha and Suman’s mud forts have heights 9 cm and 16 cm.If the fort tops are at 25 cm apart from each other, then the distance (in cm) between two forts is:
Answer & explanation
Correct answer: option 1
By pythagoras theorem
\( { AB}^{2 } \) + \( { BE}^{2 } \) = \( { AE}^{2 } \)
= \( { 7}^{2 } \) + \( { x}^{2 } \) = \( { 25}^{2 } \)
= \( { x}^{2 } \) = 625 - 49
= x = \(\sqrt {576 }\)
= x = 24
Therefore, the distance between forts is 24 cm.