Adjascent sides of parallelogram are 6 cmand 8 cm. Length of one diagonal is 12 cm find area
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Use herons formula in both triangles... You will get the area of parallelogram by adding both the areas of the triangles.... Hope it helps if it does plz follow me so that i can take up more of ur doubts
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The area of parallelogram of one side 12cm12cm & length of altitude on it is 6cm6cm is
=2(12×12×6)=2(12×12×6)
=72=72
Similarly, if xx is length of altitude drawn on to the side 8cm8cm then area of parallelogram
=2(12×8×x)=2(12×8×x)
=8x=8x
Now, equating both the values of area of parallelogram we get
8x=728x=72
x=9x=9
Hence, the length of altitude to the side 8 cm cm is 9 cm9 cm
=2(12×12×6)=2(12×12×6)
=72=72
Similarly, if xx is length of altitude drawn on to the side 8cm8cm then area of parallelogram
=2(12×8×x)=2(12×8×x)
=8x=8x
Now, equating both the values of area of parallelogram we get
8x=728x=72
x=9x=9
Hence, the length of altitude to the side 8 cm cm is 9 cm9 cm
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