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  • 17-12-2017
  • Mathematics
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The length of the base of a triangle is twice its height. if the area of the triangle is 169 square​ kilometers, find the height

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sqdancefan
sqdancefan sqdancefan
  • 12-10-2019

Answer:

  13 km

Step-by-step explanation:

The area formula for a triangle is ...

  A = (1/2)bh

We are told that b=2h, so this becomes ...

  A = (1/2)(2h)(h) = h²

Substituting the given area, we can find h:

  169 km² = h²

  (√169) km = h = 13 km

The height is 13 km.

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