Question

The sides of a rhombus are 5 cm each and one diagonal is 8 cm . Calculate the lenght of the other diagonal and the area of rhombus plz answer

Answer 1

hey.. here is ur ans.. hope it helps..

Answer 2

Given Side of a rhombus = 5cm.

Given Length of one diagonal = 8cm.

By Pythagoras theorem, we know that

= > (Side)^2 = (Half the diagonal1)^2 + (Half the diagonal2)^2

= > (5)^2 = (8/2)^2 + (d2)^2

= > (5)^2 = (4)^2 + (d2)^2

= > 25 = 16 + (d2)^2

= > 9 = (d2)^2

= > d2 = 3.

Therefore, the length of the other diagonal = 3 * 2 = 6cm.

We know that Area of rhombus = (1/2) * d1 * d2

                                                    = (1/2) * (8) * (6)

                                                    = 24 cm^2.

Hope this helps!