If △ABC∼△KJL
, find the value of x
in one triangle ABC it has 4x-1 and x+5 and on the other triangle it has 12 and 20
If the triangles △ABC and △KJL are similar, then their corresponding sides are proportional.
We can set up the following ratio:
(4x - 1) / 12 = (x + 5) / 20
Cross-multiplying, we get:
20(4x - 1) = 12(x + 5)
80x - 20 = 12x + 60
Simplifying, we have:
80x - 12x = 60 + 20
68x = 80
Dividing both sides by 68, we find:
x = 80 / 68
x = 1.176
Therefore, the value of x is approximately 1.176.