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Question

A triangle and a parallelogram have the same base and same base and same area. If the sides of the triangle are 26 cm, 28 cm, and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

A
8 cm
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B
10 cm
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C
12 cm
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D
14 cm
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Solution

The correct option is C 12 cm
Area of triangle =s(sa)(sb)(sc)

s=a+b+c2

s=26+28+302s=42

Area of triangle=42×16×14×12

=336

Area of parallelogram = Area of triangle

h×b=336

h=33628

h=12cm

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