Question

in a parallelogram pqrs the altitude corresponding to side PQ and PS are respectively 7 cm and 8 cm find the psif PQ is 10 cm

Answer 1

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Answer 2

Answer:

length of PS is 8.75 cm.

Step-by-step explanation:

Area of parallelogram = Base × Height

Consider a parallelogram PQRS the altitude corresponding to side PQ and PS are respectively 7 cm and 8 cm

We have to find the length PS.

Area of parallelogram with base PQ and height SU is given as,

Area of parallelogram PQRS = PQ × SU

                                                = 10 × 7 = 70 cm²        ...........(1)

Area of parallelogram with base PS and height QT  is given as,

Area of parallelogram PQRS = PS × QT

                                                = x × 8 = 8x cm²         .............(2)

From (1) and (2) , we get

⇒ 8x = 70

⇒ x = 8.75 cm

Thus, length of PS is 8.75 cm.