ABCD is a prallellogram with AB=15cm and BC=18cm. The height of the parellelogram fron vertex A to BC is 9cm. Find the height of the aprellelogram fron vertex C to AB. 

Asked by Sushma | 31st Jan, 2017, 10:00: AM

Expert Answer:

begin mathsize 16px style Given space that space ABCD space is space straight a space parallelogram.
Area space of space straight a space parallelogram equals base cross times height
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals BC space cross times AD
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 18 space cross times space 9 space... left parenthesis straight i right parenthesis
Area space of space straight a space parallelogram space is space also space equals space AB space cross times CM space.... left parenthesis Considering space AB space as space the space base space and space CM space as space the space height right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 15 space cross times space straight h space space.... left parenthesis ii right parenthesis
So comma space from space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space have
space 15 space cross times space straight h equals 18 space cross times space 9
rightwards double arrow straight h equals fraction numerator 18 space cross times space 9 over denominator 15 end fraction equals 10.8 space cm
Hence comma space the space height space of space the space parallelogram space from space vertex space straight C space to space AB space is space 10.8 space cm.
end style

Answered by Rebecca Fernandes | 31st Jan, 2017, 10:14: AM

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