Triangle ABC has the side of lengths of 6,8,9.
HGI is similar to ABC which has the side length of 12, 8, and its missing one length. What is the missing number. Can someone explain how to find that number.
Thank you sow much
the sides of similar triangles are in the same proportion
according to your data
the two triangles cannot be similar since
6 : 12 ≠ 8 : 8
check for typos
To find the missing side length in a similar triangle, we can use the concept of proportional sides. In similar triangles, corresponding sides are in proportion to each other.
Given that triangle HGI is similar to triangle ABC, we can set up a proportion using the corresponding side lengths:
AB / HG = BC / GI = AC / HI
Using the given side lengths of triangle ABC (6, 8, 9), we can set up the proportion as follows:
6 / x = 8 / 8
Simplifying the proportion, we have:
6x = 8 * 9
6x = 72
Dividing both sides by 6, we find:
x = 72 / 6
x = 12
Therefore, the missing side length in triangle HGI is 12.