Respuesta :

chetankachana

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

  • 144 = 0.5(8) * h
  • 144 = 4 * h
  • 144 = 4h
  • 36 = h

The height is 36, but since the units are feet, it is 36 feet.

ItzStarzMe

Explaination :

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

  • [tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]

Here,

  • l is length
  • b is breadth

To calculate :

  • Height of the triangle? (i.e. length)

We have :

  • length (l) = 8ft
  • Area (A) = 144 ft²

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

  • Height is of 36 ft.

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