Demonstrate using your own unique example how to divide a segment by a given ratio. Be sure to provide coordinates and a ratio that does not have a numerator or denominator of 1.

Question

latinc · Answer

like in trig?

simplymarie_x · Answer

I'm in Geometry rn

paxpolaris · Answer

so like take  any segment , and let's say you want 4/7ths of it?

latinc · Answer

so like the golden ratio

paxpolaris · Answer

Let's say you have segment AB of unknown length ...|dw:1463947623476:dw| you wantto divide this segment into two parts (4/7 and 3/7th of the original)

paxpolaris · Answer

Draw a different segment BC of length 7|dw:1463947981477:dw|

paxpolaris · Answer

|dw:1463948174334:dw| Point P lies on BC such that BP=4.
Draw a line through P parallel to AC ... it intersects AB at Q

$$BQ = \frac47AB$$

paxpolaris · Answer

This uses the Triangle proportionality theorem