Asha and Suman's mud forts have height 9 cm and 16 cm…

Asha and Suman's mud forts have height 9 cm and 16 cm. They are 24 cm apart. How far ( in cm) are the fort tops from each other ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 25

Here,

The length of AD = 9 cm, AB = 24 cm, BE = 16 cm

AB = DC = 24 cm, and AD = BC = 9 cm

EC = 16 - 9 = 7 cm

In triangle DEC, use Pythagoras theorem

⇒ DE² = DC² + CE²

⇒ DE² = 24² + 7²

⇒ DE = $\sqrt{525}$

⇒ DE = 25 CM

So, the distance between the tops is 25 cm.

SSC CPO 2020 PYQ — Question 130