Question

Geometry sum no 8 practice set 2.1 standard 10 maharashtra board

Answer 1

length=35cm
breadth=12cm
to find its diagonal,
if the rectangle is quadrilateral ABCD,
then we can consider,
length=AB=35cm
breadth=BC=12cm
diagonal=AC=?
also we can say,
diagonal=AC=hypotenuse,______1
according to Pythagoras theorem,
$(h.) {2} = (s. \: o.) {2} + (s.\: t.) {2} \\ (ac) {2} = (ab) {2} + (bc) {2} \\ (ac) {2} = (35) {2} + (12) {2}$
$(ac) {2} = 1225 + 144 \\ (ac) {2} = 1369 \\ ac = \sqrt{1369}$
$ac = 37$

from equation 1 we can say diagonal=37cm