Question

3) Adjacent side of rectangle are 5cm & 12cm. find the length of diagonal
​

Answer 1

Answer:

13cm

Step-by-step explanation:

By using Pythagoras theorem

Answer 2

$\huge\sf{\red{Given\:}}$

• $\sf{AB\:=\:5\:cm}$
• $\sf{BC\:=\:12\:cm}$

${ }$

$\huge\sf{\red{Find\:}}$

• $\sf{Length\:of\:diagonal}$

${ }$

$\huge\sf{\red{Solution\:}}$

• $\sf{In\:\triangle\:ABC}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\bullet\:{\bf{\purple{Using\:pythagoras\:theorem}}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC}^{2}\:{=\:AB}^{2}\:{+\:BC}^{2}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC}^{2}\:{=\:5}^{2}\:{+\:12}^{2}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC}^{2}\:{=\:25\:+\:144}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC}^{2}\:{=\:169}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC\:=\:}{\sqrt{169}}}$

$\:\:\:\:\:\:\:\::\:\Longrightarrow{\sf{AC\:=\:13}}$

${ }$

$\:\:\:\:\:\:\:\:\:\:\:\:\therefore\:{\sf{\underline{Length\:of\:diagonal\:is\:{\bold{13\:cm}}}}}$