Question

The length of a side and diagonal of a rhombus is 13 m and 10 m respectively. Find the area of the rhombus. The answer in my book is 120 m²​

Answer 1

Answer:

1 diagonal = 10 (Given)

So we are going to find the other diagonal by using Pythagoras theorem like so :

int triangle COD:

OD^2 = 13^2 - 5^2 (as diagonals bisect each other at "90 DEGREES"

Therefore,

OD = 12

So we can say that DB = 12+12 = 24 (as the diagonals of a rhombus bisect each other)

Area of rhombus = 1/2 * diagonal * diagonal

==> 1/2 * 10 * 24

==> 120 m^2(ANS)

Step-by-step explanation:

Hope this helps!