Question

Find the tangent of ∠G.
48
55
73
G
H
F
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(G)=

Answer 1

48^2 + 55^2 = 2304 + 3025 = 5329 = 73^2, so the triangle is right with hypotenuse 73 (right angle at H). For ∠G the opposite side is HF = 55 and the adjacent side is GH = 48, so

tan(G) = opposite/adjacent = 55/48.