Question

A parallelogrom the length of two sides are 12 cm and 8cm has one diagonal 10 cm long.
Find the lenght
the other diagonal? ​

Answer 1

Answer:

Step-by-step explanation:

length of first side (l) = 12cm

length of second side (b) = 8 cm

one of its diagonal (d1) = 10cm

we know ;

$10^{2} +(d2)^{2} =2 ( (12)^{2} +(8)^{2} )$

$100+(d2)^{2}=2(144+64) \\(d2)^{2}=416-100\\(d2)=\sqrt{316} \\(d2)=17.7763cm$

so,the lenghth of other diagonal is 17.7763 cm.