Question

All sides of parallelogram are of length 10 cm and one of its diagonals is of length
16cm.
a) What is the length of the other diagonal?
b) What is the area of parallelogram?​

Answer 1

explanation: calculate area of the triangle with sides 16,14,18 using hercules formula ie (area)^2=s(s-a)(s-b)(s-c) where s=(a+b+c)/2

so area=96.

this area=1/2*16*h (h is altitude- diagonals bisect each other, 16 base which is bisected by the altitude)

therefore h=12

other diagonal=2h=24