Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AC labeled 7.32 and a second triangle DEF with side DE labeled 8.8, side FD labeled 6.1 and side EF labeled 6.4
Determine the length of side AB and BC in triangle ABC.
AB = 10.065, BC = 8.388
AB = 8.8, BC = 6.4
AB = 10.56, BC = 7.68
AB = 7.425, BC = 5.954
To find the length of side AB and BC in triangle ABC, we can set up a proportion using the corresponding sides of the two similar triangles:
AC/DE = AB/EF
Substitute the given values:
7.32/8.8 = AB/6.4
0.83 = AB/6.4
AB = 0.83 * 6.4
AB = 5.312
Next, we can find the length of BC using the same proportion:
BC/FD = AB/DE
Substitute the given values:
BC/6.1 = 5.312/8.8
BC = (5.312 * 6.1)/8.8
BC = 8.388
Therefore, the length of side AB is 5.312 and the length of side BC is 8.388 in triangle ABC.
So, the correct answer is: AB = 5.312, BC = 8.388