plz explain the 1 st sum in the lets review which is : in IIgm PQRS , RN is perpendicular to PS and PM is perpendicular to SR .if PQ = 120 cm , PM =30root5 cm and RN = 180root5 cm , thn what is the measure of the side PS ? plz answer ...
Given, PQRS is a parallelogram in which RN ⊥ PS and PM ⊥ SR. If PQ = 120 cm , PM = 30√5 cm and RN = 180√5 cm.
In order to find the side PS of the given parallelogram, firstly, we will area of PQRS as:
Area of Parallelogram PQRS = base × height
= RS × PM [on considering the base RS, corresponding altitude will be PM]
⇒ Area of PQRS = PQ × PM [PQ = RS, as opposite sides of a parallelogram are equal]
= 120 × 30√5 cm2 .... (1)
Again, area of Parallelogram PQRS with respect to base PS and corresponding altitude RN is:
Area of Parallelogram PQRS = PS × RN
120 × 30√5 = PS × 180√5 [using (1)]
⇒ PS = 120 × 30√5/180√5
⇒ PS = 20 cm