In the following figure, both are golden triangles. (See the definition of a golden tri...

In the following figure, both are golden triangles. (See the definition of a golden triangle in the previous problem.)

a. If AC = 1 unit, then find AB, DC, and BD.

b. Use the result from part (a) to show that is also a golden triangle, that is, show that

Problem 29:

Recall that the golden ratio is denoted by φ , where A golden triangle is an isosceles triangle (a triangle with two sides of equal length) such that

a. Measure the lengths of the sides of the following triangles and determine if either of the triangles is a golden triangle.

b. Determine the length of the long side of a golden triangle if the short side is φ units.

c. Find the length of the short side of a golden triangle if the long side is 1 inch.

d. Find the length of the short side of a golden triangle if the long side is 7 cm.