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Suppose the height of a triangle is tripled. How does this affect the area of the triangle? Explain

Respuesta :

Answer:

A' = 3A

Step-by-step explanation:

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

b is base and h is height

If height is tripled, h' = 3h

New area,

[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]

So, the new area becomes 3 times the initial area.