Question

Given a scgment PQ whose length is 1 inch, construct a segment whose length is exactly (1+ √5)/2. Do the construction in Sketchpad.

Answer 1

To construct a segment whose length is exactly (1+ √5)/2, start by drawing a line segment PQ with a length of 1 inch. Use a compass to construct a circle with center P and radius 1 inch. Draw a perpendicular line from Q to intersect the circle at point R. The length of segment QR is (1+ √5)/2.

Step-by-step explanation:

To construct a segment whose length is exactly (1+ √5)/2, start by drawing a line segment PQ with a length of 1 inch. Next, use a compass to construct a circle with center P and radius 1 inch. Then, draw a perpendicular line from point Q to intersect the circle at point R. The length of segment QR is exactly (1+ √5)/2.