Question

In parallelogram ABCD, BC = 7.5 cm and
CD = 10 cm. AN perpendicular BC and CM perpendicular AB. If
altitude AN = 8 cm, find altitude CM.​

Answer 1

Answer:

check attachment for the answer

Answer 2

The altitude CM=6 cm

Step-by-step explanation:

In parallelogram ABCD

AD=BC=7.5 cm

AB=CD=10 cm

AN=8 cm

Area of parallelogram=$Base\times height$

Using the formula

Area of parallelogram ABCD=$BC\times AN=7.5\times 8=60cm^2$

Again, area of parallelogram ABCD=$AB\times CM=10\times CM$

$60=10\times CM$

$CM=\frac{60}{10}=6 cm$

Hence, the altitude CM=6 cm

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