IN A PARALLEOGRAM PQRS T IS A POINT ON SIDE RS . IF AR (parallelogram PQRS) =172 CM THEN AR (ANGLE PTQ) IS
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Answer:
In △BCD,
DB2+BC2=DC2⇒DB2=172−82=225⇒DB=15 cm
Ar(△BCD) = 12×b×h=12×8×15=60 cm2
In △BAD,
DA2+AB2=DB2⇒AB2=152−92=144⇒AB=12 cm
Ar(△DAB) = 12×b×h=12×9×12=54 cm2
Area of quad. ABCD = Ar(△DAB) + Ar(△BCD) = 54 + 60 = 114 cm2 .
Area of trap(PQRS) = 12(8+16)×8=96 cm2
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when we do like above , we get the answe as 86
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