Question

in fig. ABCD is a parallelogram AL perpendicular CD and AM perpendicular BC if AB = 12 cm , AD = 8 cm and AL =6 cm then AM = ?​

Answer 1

AM=9cm

Step-by-step explanation:

In parallelogram ABCD

AB=CD=12 cm and AD=BC=8cm

AL=6cm

Area of parallelogram =$Base\times height$

Using the formula

Area of parallelogram ABCD=$AL\times CD$

Area of parallelogram ABCD=$6\times 12=72cm^2$

Again, area of parallelogram ABCD=$AM\times BC$

Area of parallelogram ABCD=$AM\times 8$

$72=AM\times 8$

$AM=\frac{72}{8}=9cm$

Hence, AM=9cm

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