दिए गए चित्र में ABCD एक आयत है तथा PQR एवं S
उसकी भुजाओं के मध्य बिन्दु है। यदि SR=10 सेमी. हो तथा
आयत की एक भुजा 12 सेमी. हो, तो चतुर्भुज PQRS का
क्षेत्रफल क्या है ?
Answers
Answered by
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Answer:
SR is parallel to one diagonal of the rectangle
So diagonal = 2×SR = 2×10 = 20
Let another side of rectangle be L
Then L^2 + 12^2 = 20^2
L^2 = 20^2 - 12^2 = (20+12)(20-12) = 32×8
L = 16
Since diagonals of rectangle are equal, therefore
PQRS will be a rhombus and it's two diagonals will be two sides of the rectangle 16 and 12
Area of rhombus = (1/2)×one diagonal× another diagonal
= (1/2)×16×12 = 96 sq cm Ans
Answered by
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hi it is of the world kaste answer of thing
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