Q1 of 77 Page 15

If Fig. 15.26, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB=16 cm, AE=8 cm and CF=10 cm, find AD.

Given that,

In a parallelogram ABCD:


CD = AB = 16cm (Opposite sides of parallelogram are equal)


We know that,


Area of parallelogram = Base * Corresponding altitude


Area of parallelogram ABCD:


CD * AE = AD * CF


16 cm * 18 cm = AD * 10 cm


AD =


AD = 12.8 cm


More from this chapter

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1

Which of the following figures lie on the same base and between the same parallel. In such a case, write the common base and two parallel:


 2

In Q. No. 1, if AD=6 cm, CF=10 cm and AE=8 cm, find AB.

 3

Let ABCD be a parallelogram of area 124 cm2. If E and F are the mid-points of sides AB and CD respectively, then find the area of parallelogram AEFD.

 4

If ABCD is a parallelogram, then prove that

ar(Δ ABD) = ar(Δ BCD) = ar(Δ ABC)=ar(Δ ACD) = ar(||gm ABCD)