triangle ABC with side AB=10 cm BC = 12 cm and ac = 16 cm enlarged to the triangle A'B'C' such that the largest side of triangle AB'C' = 24 cm find the scale ( enlargement) factor and use it to find the length of other side of image triangle A'B'C'
Answers
Given : triangle ABC with side AB=10 cm BC = 12 cm and ac = 16 cm enlarged to the triangle A'B'C' such that the largest side of triangle AB'C' = 24 cm
To Find : the scale ( enlargement) factor and use it to find the length of other side of image triangle A'B'C'
Solution:
ΔABC
AB = 10 cm
BC = 12 cm
AC = 16 cm
Largest side AC = 16 cm
ΔA'B'C'
Largest side = 24 cm
=> A'C' = 24 cm
Scale factor = 24/16 = 3/2
scale ( enlargement) factor = 3/2 = 1.5
A'B' = (3/2) AB = (3/2)10 = 15 cm
B'C' = (3/2) Bc = (3/2)12 = 18 cm
A'B' = 15 cm
B'C' = 18 cm
A'C' = 24 cm
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