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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?

Respuesta :

MissPhiladelphia
The area of a triangle in terms of height and base is A = 1/2*base*height

Suppose base = 6 cm and height = 12 cm. Then, A = 1/2*6*12 = 36 cm2.

If the base and height are scales by a factor of 5, b= 30 cm and h = 60 cm. Then, A = 1/2*30*60 = 900 cm2.

Thus the area of the resulting triangle is scaled by a factor of 25, which is 900 cm2.

abidemiokin

The area of the new triangle will be 90cm

How to find the area of a triangle

Given that the area of a triangle is expressed as:

  • A = 0.5bh
  • 36 = 0.5bh
  • bh = 18

If the base and height are scaled by a factor of 5, then the area will be:

5(bh) = 5(18)

5(bh) = 90cm²

Hence the area of the new triangle will be 90cm²

Learn more on area of triangle here: https://brainly.com/question/17335144