Question

The length of the diagonal and the breadth of the rectangle is 10cm and 6cm
respectively. Find the length of the rectangle.

Answer 1

Step-by-step explanation:

let the rectangle is ABCD ITS diagonal is AC and breadth is BC

\B=90°

$angle \: b \: = 90 \: use \: pythaoru s\: \\ {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {10}^{2} = {ab}^{2} + {6}^{2} \\ 100 = {ab}^{2} + 36 \\ 100 - 36 = {ab}^{2} \\ {ab}^{2} = 64 \\ ab = \sqrt{64} \\ ab = 8 \\ \: lenghth \: of \: rectangle \: is \: 8 \: cm$