These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know please.

These two triangles are scaled copies of one another The area of the smaller triangle is 9 square units What is the area of the larger triangle Explain or show class=

Respuesta :

Answer:

The area of the larger is 36  units^2

Step-by-step explanation:

The scale factor is 6/3 = 2

When we work with areas, it is scale factor squared

scale factor ^2 = area of larger / area of smaller

2^2 = area of larger / 9

4 =area of larger / 9

Multiply each side by 9

4*9 = 36

The area of the larger is 36  units^2

The area of 36 units is larger