A triangle has an area of 36 cm2. The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
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Respuesta :

Answer:

The area of the resulting triangle will be: [tex]\boxed{A=900\:cm^2\:}[/tex]

Step-by-step explanation:

The area of a triangle is

[tex]A=\frac{1}{2}\times base\times height[/tex]

Let us suppose

  • base = 4 cm
  • height = 18 cm

[tex]A=\frac{1}{2}\times base\times height[/tex]

[tex]A\:=\frac{1}{2}\times \:4\times \:18\:\:\:\:\:[/tex]

[tex]A=36\:cm^2\:[/tex]

As the base and height are scaled a factor of 5.

so

base = 4 × 5 = 20

height = 18 × 5 = 90

as

[tex]A=\frac{1}{2}\times base\times height[/tex]

[tex]A\:=\frac{1}{2}\times \:20\times \:90[/tex]

[tex]A=900\:cm^2\:[/tex]

Therefore, the area of the resulting triangle will be: [tex]\boxed{A=900\:cm^2\:}[/tex]