If △ABC∼△KJL
, find the value of x
AC is 4x-1
BC is x +5
KL is 20
JL is 12
In similar triangles, corresponding sides are proportional.
Hence, we can set up the following proportions:
AC/BC = KL/JL
(4x-1)/(x+5) = 20/12
Cross-multiplying, we get:
12(4x-1) = 20(x+5)
48x - 12 = 20x +100
48x - 20x = 100 + 12
28x = 112
x = 112/28
x = 4
Therefore, the value of x is 4.