One pair of adjacent sides of a parallele gram is in the ratio 3:4. If

1.	One pair of adjacent sides of a parallele gram is in the ratio 3:4. If oneits angle is a right angle and the diagonal is 10 cm. Find thelengths of the sides of the parallelogram.i1) perimeter of the parallelogram
Answer» As adjacent sides are in the ratio 3:4 . Let AD=3x and AB=4x . Applying pythagoras theorem , in △ABD AB^2+AD^2=BD^216x^2+9x^2=100 25x^2=100x^2=4x=2 cm. So ,AB=4(2)=8 cm .AD=3(2)=6 cm .CD=AB=8 cm . (Opposite sides of parallelogram)BC=AD=6 cm . (Opposite sides of parallelogram) Perimeter of parallelogrm=2 (AB+AD)=2 (8+6)=2×14=28 cm . hit like if you find it useful

One pair of adjacent sides of a parallele gram is in the ratio 3:4. If oneits angle is a right angle and the diagonal is 10 cm. Find thelengths of the sides of the parallelogram.i1) perimeter of the parallelogram

Answer»

As adjacent sides are in the ratio 3:4 .

Let AD=3x and AB=4x .

Applying pythagoras theorem , in △ABD

AB^2+AD^2=BD^216x^2+9x^2=100

25x^2=100x^2=4x=2 cm.

So ,AB=4(2)=8 cm .AD=3(2)=6 cm .CD=AB=8 cm . (Opposite sides of parallelogram)BC=AD=6 cm . (Opposite sides of parallelogram)

Perimeter of parallelogrm=2 (AB+AD)=2 (8+6)=2×14=28 cm .

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