question_answer

Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

Answer:

Applying Pythagoras?s theorem, in\[\Delta PQR\], we have

\[P{{R}^{2}}=P{{Q}^{2}}+Q{{R}^{2}}\]

\[={{\left( 12 \right)}^{2}}+{{\left( 35 \right)}^{2}}\]

= 144 + 1225

\[=\text{ }1369\Rightarrow PR\text{ }=\text{ }\sqrt{1369}\]

PR = 37 m