Onix cuts two similar triangles out of cardboard. What is the length in units of the left side of the top triangle when the bottom triangles left side is 6 and the bottom is 18
Since the two triangles are similar, their sides are in proportion. Therefore, the ratio of the corresponding sides of the two triangles is equal.
Let x be the length of the left side of the top triangle. Given that the left side of the bottom triangle is 6 and the bottom of the bottom triangle is 18, the ratio of the corresponding sides is:
x/6 = (x+12)/18
Cross multiplying:
18x = 6(x+12)
18x = 6x + 72
12x = 72
x = 6
Therefore, the length of the left side of the top triangle is 6 units.