jemarcus1999
jemarcus1999 jemarcus1999
  • 10-02-2017
  • Mathematics
contestada

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.

What is the area of the resulting triangle?

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 16-02-2017
The answer is 270 cm²

The area (A) of a triangle with base b and height h is:
A = b * h / 2
A = 30 cm²

Since the base and height are scaled by a factor of 3, that means that they are increased 3 times:
b1 = 3b
h1 = 3h
A1 = b1 * h1 /2
A1 = 3b * 3h / 2
A1 = 3 * 3 * b * h / 2
A1 = 9 * 
b * h / 2
A1 = 9 * A
A1 = 9 * 30 cm²
A1 = 270 cm²
Answer Link
dylingarziano
dylingarziano dylingarziano
  • 18-10-2021

Answer:

270 cm²

Step-by-step explanation:

i took the test and got it correct -k12

Answer Link

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