With 1 sides, 1 base and the angle how get other size of the top parallel side of a trapezium

Question

a trapezium with left side 184mm, the base is 775mm and the angle is 40 degrees how do I find the other shorter top parallel side

Answer 1

You can find the height which is 184sin40=118.273mm approx. And you can find how far along the base the perpendicular height meets the base: 184cos40=140.952mm. The remaining length of base is 634.048mm. If, and only if, the right side of the trapezium is at a right angle to the base can you determine the length of the top, which would also be 634.048mm; but if the right side doesn't make a right angle with the base, you have insufficient information to find the length of the top side.

Answer 2

???????????? "trapezium" ???????????

maebee that be TRAPAZOID???...thang with 4 sides & 2 sides parallel

other 2 sides mite be parallel, but normally not

In that kase, DONT hav nuf info tu define it

It sound tu me yu sae yu hav base leng+angel from base tu 1 side +leng av side

on other side av that angel

No wae tu ges how long the top side be, or the angel at the other end av the base

Answer 3

the question needs more clarification[which one of the two bases is longer],

so let ..in this trapezium [ call it ABCDE].....................

The given base[call BE] be the longer base and let the given side be AB (such that AB = CD)

therefore <BED = <CED and the required side is AD

Taking triangle CED {CE = (BE -AD)}

tan(<CED) = DC/CE

tan40 = 184/[775 - AD]

AD = 775 - 184/tan40......... = 555.72

Therefore the other side is 555.72mm