A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?

Respuesta :

Answer:

Area of resulting triangle  will be 900 [tex]cm^2[/tex].

Step-by-step explanation:

When sides of  any polygon if scaled by a factor of k

then area is scaled by [tex]k^2[/tex]

According to the above statement

therefore  here in the question since area of original triangle was 36[tex]cm^2[/tex]

and both  base and height are scaled by a factor of 5.

therefore area of scaled triangle will be [tex]5^2[/tex] times of the original

that is 25 x 36 which gives 900 [tex]cm^2[/tex]

So area of resulting triangle will be 900 [tex]cm^2[/tex]