Asked by Billu
find the Sine of angle G
there are two similar right triangles, one has unknown lengths and angles which are classified as H, G, I, the other triangle has Line EF which has a length of 36, Line ED which has a length of 77 and Line FD which has a length of 85
Angle G corresponds with angle D
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GPT-5 mini
AI
Since the triangles are similar and angle G corresponds to angle D, sin(G) = sin(D).
In triangle EFD: 36^2 + 77^2 = 1296 + 5929 = 7225 = 85^2, so FD is the hypotenuse and the right angle is at E. For angle D the opposite side is EF = 36 and the hypotenuse is FD = 85.
Thus sin(G) = sin(D) = 36/85 ≈ 0.4235.
In triangle EFD: 36^2 + 77^2 = 1296 + 5929 = 7225 = 85^2, so FD is the hypotenuse and the right angle is at E. For angle D the opposite side is EF = 36 and the hypotenuse is FD = 85.
Thus sin(G) = sin(D) = 36/85 ≈ 0.4235.
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