PQRS is a parallelogram of area 120cm². If PS=10cm and PQ=15cm, find the measures of SM and altitude PM.
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Answer:PM = 8 cm
SM = 6 cm
Step-by-step explanation:
ar(PQRS) = 120 cm^2
Base SR = 15 cm
PM( height ) = 120/15 = 8 cm
Now in ∆ PSM
( PS)^2 = ( PM)^2+(SM)^2
100 = 64 + SM^2
SM^2=100-64
SM^2=36
SM=√36=6 cm
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