Triangle JJJ is shown below. James drew a scaled version of Triangle JJJ using a scale factor of 444 and labeled it Triangle KKK.
What is the area of Triangle KKK?
Answers
Given : Triangle J
James drew a scaled version of Triangle J using a scale factor of 4 and labeled it Triangle K .
To Find : the area of Triangle K
Solution:
James drew a scaled version of Triangle J using a scale factor of 4 and labeled it Triangle K .
=> Triangle J and Triangle K are similar
Ratio of sides of Triangle K to Triangle J = 4
Ratio of Area of Similar Triangle = (ratio of corresponding sides)²
=> Area of Triangle K /Area of Triangle J = ( 4)²
=> Area of Triangle K /Area of Triangle J = 16
Area of Triangle K = 16 Area of Triangle J
Area of Triangle K is 16 times the Area of Triangle J
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Answer:
160 square unites