Question

If a rectangle has dimensions 9 cm by 12 cm, find the length ofits diagonals. Are
the diagonals equal in length?​

Answer 1

Answer:

length of digonals. of rectangle is √^2l+b^2

=√9^2 +12^2

√81+144

√125 =15 cm answer

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Answer 2

Given::

Length of rectangle =12cm

Breadth of the rectangle =9cm

Since all sides are perpendicular to each other

By using pythagorean theorem,

$\boxed{ \sf{ \pink{length \: of \:diagonal = \sqrt{ {length}^{2} + {breadth}^{2} } }}}$

$\tt{ diagonal = \sqrt{ {12}^{2} + {9}^{2} } = 15cm }$

Yes.

All diagonals of a rectangle are in same length

because opposite sides are equal.

Diagonals length also same.

From diagram,

AC=BD=15cm.

(AC,BD are diagonals)