JAMB - Mathematics (1980 - No. 21)
In triangle FGH, < G = 90º, < H = 60º, while in triangle XYZ, < X = 60º and < Y = 30º. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)
\(\frac{YX}{ZX}\)
\(\frac{YX}{YZ}\)
\(\frac{ZX}{YZ}\)
\(\frac{YZ}{XY}\)
Explicaţie
The two triangles are similar
\(\frac{FG}{YZ}\) = \(\frac{FH}{XY}\) = \(\frac{GH}{YZ}\) = \(\frac{FG}{FH}\) = \(\frac{YZ}{XZ}\)
\(\frac{FG}{YZ}\) = \(\frac{FH}{XY}\) = \(\frac{GH}{YZ}\) = \(\frac{FG}{FH}\) = \(\frac{YZ}{XZ}\)