Question

5. Two sides of a parallelogram are 14 cm and 8 cm. If the height corresponding to the side of length 14 cm is 7 cm long, find the length of the height corresponding to the side 8 cm.



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Answer 1

Answer:

Let ABCD is a parallelogram with longer side AB = 25 cm and altitude AE = 10 cm.

Therefore AB = CD (opposite sides of parallelogram are equal).

The shorter side is AD = 20 cm and the corresponding altitude is CF.

We know that area of a parallelogram = Base x Height

We have two altitudes and two corresponding bases.

So, by equating them

AD x CF = CD x AE

20 x CF = 25 x 10

CF = 12.5 cm

Hence, the altitude corresponding to the other pair of the side AD is 12.5 cm.

Step-by-step explanation:

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Answer 2

Answer:

Given:

base=14 cm

Height corresponding to 14 cm= 7 cm

Area of parallelogram=base×height

• =14×7
• =98 square.cm

Also Given another base=8 cm

so, length of height corresponding to the side 8 cm= Area of parallelogram/ base

• =98÷8
• =12.25 cm