Triangle A has an area of #24 # and two sides of lengths #8 # and #12 #. Triangle B is similar to triangle A and has a side with a length of #12 #. What are the maximum and minimum possible areas of triangle B?
1 Answer
Maximum possible area of triangle B
Minimm possible area of triangle B
Explanation:
Third side of Triangle A can have values between 4 & 20 only by applying the condition that
Sum of the two sides of a triangle must be greater than the third side.
Let the values be 4.1 & 19.9. (corrected to one decimal point.
if sides are in the ratio
Case - Max : When side 12 of corresponds to 4.1 of A, we get the maximum area of triangle B.
Case - Min : When side 12 of corresponds to 19.9 of A, we get the minimum area of triangle B.