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  • 23-02-2021
  • Mathematics
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Find the altitude of the triangle with a side of 18.
Put into sqrt.

Find the altitude of the triangle with a side of 18 Put into sqrt class=

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ADVENTUROUSBOY
ADVENTUROUSBOY ADVENTUROUSBOY
  • 23-02-2021

15 58

Step-by-step explanation:

BD = DC = 1/2 BC ---> AD is median ( because in equilateral triangle altitude equals to median )

so, therefore

AB = 18 (given)

BD = 1/2 BC

BD = 1/2 × 18

BD = 9

AB² = AD² + BD² ---( by pythagoras theorm)

18² = AD² + 9²

324 = AD² + 81

324 - 81 = AD²

243 = AD²

then,

AD = √243

AD = 15 58

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