Melona10 Melona10
  • 15-08-2020
  • Mathematics
contestada

The base of a triangle is two times its height. If the area of the triangle is 36, then what is the height of the triangle?

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WojtekR
WojtekR WojtekR
  • 15-08-2020

We have:

h - height

b = 2h - base

A = 36 - area

so:

[tex]A=\frac{1}{2}\cdot b\cdot h\\\\A=\frac{1}{2}\cdot 2\cdot h \cdot h\\\\A=h^2\\\\36=h^2\quad|\sqrt{(\dots)}\\\\\boxed{h=6}[/tex]

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