Question
Find z.
(for this problem, the smaller triangle is inside the larger triangle.)
(IJK lengths: 8 yd, 6 yd)
(HGJ lengths: 16 yd, z)
(for this problem, the smaller triangle is inside the larger triangle.)
(IJK lengths: 8 yd, 6 yd)
(HGJ lengths: 16 yd, z)
Answers
GPT 3.5
To find z, we can use similar triangles.
Since triangle IJK is similar to triangle HGJ (by AA similarity), we can set up a proportion:
IJK / HGJ = IJ / HJ
Substitute the given values:
8 / 16 = 6 / z
Solve for z:
8z = 96
z = 12
Therefore, z is 12 yards.
Since triangle IJK is similar to triangle HGJ (by AA similarity), we can set up a proportion:
IJK / HGJ = IJ / HJ
Substitute the given values:
8 / 16 = 6 / z
Solve for z:
8z = 96
z = 12
Therefore, z is 12 yards.