    Question

# A triangle and a parallelogram have same base and same area. If the sides of the triangle are 20cm,25cm and 35cm, and the base side is 25 cm for the triangle as well as the parallelogram, find the vertical height of the parallelogram.

A
46 cm
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B
56 cm
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C
43 cm
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D
None of the above
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Solution

## The correct option is A 4√6 cmArea of triangle =√s(s−a)(s−b)(s−c). For triangle with sides 20 cm, 25 cm and 35 cm, s=20+25+352=40cmArea of the triangle =√40(40−20)(40−25)(40−35)=√40×20×15×5=√20×2×20×5×3×5=20×5×√6=100√6cm2Given, area of the parallelogram = Area of the triangle =100√6cm2 Area of a parallelogram =base×height.So 25×height=100√6=>height=4√6cm  Suggest Corrections  0      Similar questions  Related Videos   Introduction
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