Question
In Fig. 9.15, ABCD is a parallelogram, and . If , and , find AD.
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Text solutionVerified
Solution: AD=BC
AB=DC
In ABXE
EC||AB(area of parallelogram)
DC||AB
Area of AXBE=
From theorem 9.1
area(AXBE)=area(ABCD)=
FBYC is a rectangle
Area(FBYC)=x*10
Area(FBYC)=144
x*10=144
x=14.4cm
BC=AD=14.4cm.
AB=DC
In ABXE
EC||AB(area of parallelogram)
DC||AB
Area of AXBE=
From theorem 9.1
area(AXBE)=area(ABCD)=
FBYC is a rectangle
Area(FBYC)=x*10
Area(FBYC)=144
x*10=144
x=14.4cm
BC=AD=14.4cm.
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Question Text | In Fig. 9.15, ABCD is a parallelogram, and . If , and , find AD. |
Answer Type | Text solution:1 |
Upvotes | 150 |