Geometry

[tropic thistle]

ABCD is a trapezium, such that P and Q are the midpoints of AB and DC respectively, joining PQ we get AD||||PQ||||BC of angle ABC is 60 degrees, AD = 5m
m and the distance between AD and BC is 4m, Find PQ

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[floral mural]

what does the notation AB||PQ||BC mean

parallel?

[tropic thistle]

yes

[floral mural]

that does not look right

AB is clearly not parallel to BC

nor PQ

[tropic thistle]

I mean Ad

[floral mural]

isn't that true no matter what, then

lol

[tropic thistle]

need to find pq

[floral mural]

i don't know if there's enough information here

is AB = DC

[tropic thistle]

idk, but you gotta use trigonometry and theorems ig

[floral mural]

because if you move point C along line BC, none of the information should change, except length of PQ will

[tropic thistle]

Given :- P and Q are the midpoints of AB and DC respectively,

AD||||PQ||||BC

angle ABC is 60 degrees

AD = 5m

distance between AD and BC is
4m

To find - PQ

[floral mural]

yeah, as i said, there is not enough information

[tropic thistle]

your allowed to do construction

[floral mural]

no i mean it can be like almost any length you want

[tropic thistle]

Idk about that but my maths teacher gave me the question, what should I say to him