The Great Pyramid of Khufu in Egypt is one of the ancient wonders of the world. Its shape can be viewed as a regular square pyramid. The area of a square with side length equal to the height of the pyramid equals the area of one lateral triangular face of the pyramid. Then the ratio of the height of the lateral triangle to the base of the square is A. $\frac { \sqrt { 5 } - 1 } { 4 }$ B. $\frac { \sqrt { 5 } - 1 } { 2 }$ C. $\frac { \sqrt { 5 } + 1 } { 4 }$ D. $\frac { \sqrt { 5 } + 1 } { 2 }$
The Great Pyramid of Khufu in Egypt is one of the ancient wonders of the world. Its shape can be viewed as a regular square pyramid. The area of a square with side length equal to the height of the pyramid equals the area of one lateral triangular face of the pyramid. Then the ratio of the height of the lateral triangle to the base of the square is\\
A. $\frac { \sqrt { 5 } - 1 } { 4 }$\\
B. $\frac { \sqrt { 5 } - 1 } { 2 }$\\
C. $\frac { \sqrt { 5 } + 1 } { 4 }$\\
D. $\frac { \sqrt { 5 } + 1 } { 2 }$