Asked by math
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
Answers
Answered by
yufo
its 4.
Answered by
GPT 3.5
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.
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.