Question

11. Find the length of the
diagonal of a rectangle whose
sides are 5 cm and 12 cm.
O 15 cm
O 14 cm
O none of these
O 13 cm​

Answer 1

Answer:

Diagonal of rectangle=√l^2+b^2

=√12^2+5^2

=√144+25

=√169

=13cm

PLZ MARK AS BRIANLIEST,FLW ME AND THX FOR THE SUPERB QUESTION

Answer 2

${ \underbrace{ \pink{ \bf{Required \: Answer : }}}}$

Given :

• Length of rectangle is 5 cm
• Breadth of rectangle is 12 cm

To Find :

• Length of the diagonal ?

We know :

$\qquad\underset{\red{\bf Pythagoras\ \: Theorem}}{\underbrace{\boxed{ \blue{ \bf{ AC^2 = AB^2 + BC^2}}}}}$

• Now, Substitute the value :-

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

$→{ \sf{ AC {}^{2} = 144 + 25}}$

$→ { \sf{AC {}^{2} = 169}}$

$→ { \sf{AC \: = \sqrt{169} }}$

$→{ \sf{ AC \: = 13}}$

$∴{ \blue{ \boxed{ \sf{Length \: of \: diagonal \: is \: 13 \: cm}}}}$

Hence, The (IV) option is correct.