Question

in a parallelogram ,ABCD, if AD = 10 cm CF= 8 cm BG= 12 cm find AB

Answer 1

Answer:

We are given that in parallelogram ABCD,  

AD = 10 cm

BG = 12 cm

CF = 8 cm

The figure for the given question is attached below and thereby we will now solve the given question based on that figure:

We know,  

Area of a parallelogram = Base * Height

According to the figure, we can find the area of the parallelogram through two equations,

Area of parallelogram = AD * BG ….. (i)

And,

Area of the parallelogram = AB * CF ….. (ii)

Thus, by equating (i) & (ii) and substituting the given values, we get

AD * BG = AB * CF

⇒ 10 * 12 = AB * 8

⇒ AB = 120/8  

⇒ AB = 15 cm