Question

A lady went for a walk and she was walking in a right triangular park. The tiles of the smallest side were visible while other 2 sides she couldn't make out. Each tile was 1 m. The length of the visible side was 10 m. Help the lady to find the length of the other 2 sides , so she could calculate what distance she is walking everyday.

• A. 14 m and 16 m
• B. 22 m and 23 m
• C. 24 m and 26 m
• D. 42 m and 46 m

Answer 1

The correct option is C 24 m and 26 m

one side$=10m$

Other two sides and 10 m should be Pythagorean triplet in order to form right triangle.

${14}^2$$+$${10}^2$$=$$296$

${22}^2$$+$${10}^2$$=$$584$

${24}^2$$+$${10}^2$$=$$576$

$576$$=$${26}^2$

${42}^2$$+$${10}^2$$=$$1864$

Hence, Option C is correct.