9514 1404 393
Answer:
HG = √165 ≈ 12.8
Step-by-step explanation:
All sides of the rhombus are the same length, so ...
DE = EF
16x -3 = 9x +11
7x = 14
x = 2
DE = 16(2) -3 = 29
Because the diagonals bisect each other, we have ...
HF = DF/2 = 52/2 = 26
We know side GF is 29, so ...
HG² + HF² = GF²
HG² = GF² -HF² = 29² -26² = 165
HG = √165 ≈ 12.8 . . . . rounded to tenths
