Question

The sides of ABC are 30 units, 40 units, and 60 units long. The corresponding sides of AXYZ are times as long as the sides of -
The expression that gives the perimeter of AXYZ is
square units
If the area of AABC is n square units, the area of AXYZ is

Answer 1

Answer:

The expression that gives the perimeter of  triangle XYZ is 130*r

The expression that gives the Area of ∆XYZ is n*r^2 units^2 ....

Step-by-step explanation:

Part A:

Perimeter of triangle ABC = 30+40+60

Perimeter of triangle ABC = 130 units

Triangle ABC = Triangle XYZ

Thus,

Scale factor = r

scale factor = Perimeter of triangle ABC/ Perimeter of triangle XYZ

Perimeter of triangle XYZ= perimeter of triangle ABC * scale factor

Perimeter of triangle XYZ = 130 * r

The expression that gives the perimeter of  triangle XYZ is 130*r

Part B:

Area of triangle ABC = n units^2

As we know that scale factor = r

scale factor^2 =  Perimeter of triangle ABC/ Perimeter of triangle XYZ

Perimeter of triangle XYZ =  Perimeter of triangle ABC * scale factor^2

Perimeter of triangle XYZ = n*r^2 units^2

The expression that gives the Area of ∆XYZ is n*r^2 units^2 ....