Answer:
L = 36
Step-by-step explanation:
"A triangle with a height of 3 cm and a base of x cm is the result of reducing each dimension by a scale factor of one-third"
We are looking for the original. This triangle was reduced by 1/3, so we would have to mulitply by 3 to get the original triangle measurements.
height = 3 x 3 = 9
length = x * 3
"The area of the original triangle is 162 cm²."
Area = Base x Height/2
162 = (x*3) * 9/2
324 = (x*3)*9
36 = x*3
x = 12
What was the original length of the base?"
Length = x * 3
= 12 * 3
Length = 36
I hope this helped!
