Asha and Suman’s mud forts have heights 9 cm and 16 cm. They are 24 cm apart. How far (in cm)are the fort tops from each other ?
Answer & explanation
Correct answer: option 1
From the above figure,
DE = CD + CE
= DE = AB + CE
= CE = DE - AB
= CE = 16 - 9
= CE = 7 cm
In \(\Delta \)ACE, pythagoras theorem,
\( {(AE) }^{2 } \) = \( {(AC) }^{2 } \) + \( {(CE) }^{2 } \)
= \( {(AE) }^{2 } \) = \( {(24) }^{2 } \) + \( {(7) }^{2 } \)
= \( {(AE) }^{2 } \) = 625
= AE = 25 cm
Therefore, fort tops are 25 cm far from each other.