Question

find the area of Rhombus having side equal to 13 cm and one of diagonal 10 cm

Answer 1

Answer:

120cm²

Step-by-step explanation:

If p and q are the two diagonals of a rhombus, the area is pq/2

we have p=10 and the side a=13.

If we look at a quarter of the rhombus, it is a triangle with hypotenuse a, and sides p/2 and q/2.

p/2=5

Applying Pythagoras theorem, a²=(p/2)²+(q/2)²

13²=5²+(q/2)²

169-25=(q/2)²

q/2=√144

q=12×2=24

Area=pq/2=24×10/2=240/2=120cm²