Finding missing base in trapezoid

[mirabi]

Hi

is it possible to find the short base of Isosceles trapezoid if only is given the long base and legs.
No area or height are known

Mira

 

[stapel]

is it possible to find the short base of Isosceles trapezoid if only is given the long base and legs.
No area or height are known

What angle(s) have they given you? What have you tried to do with this information?

Please be complete. Thank you!

 

[mirabi]

Hi

No angles information.I have tried to find a solution without any result.

 

[Otis]

is it possible to find the short base of Isosceles trapezoid if only is given the long base and legs.

No. There are many isosceles trapezoids with those legs and long base.

Draw an isosceles trapezoid. Now, imagine that the angle between the legs and the long base increases or decreases. This would change the length of the short base, yes?

 

[mirabi]

I am not sure I undetstand that.
But I can give you the exact measures

Legs are 63.5 cm each and the long side 150,8 cm.
So how can I find the short side.

 

[stapel]

I am not sure I undetstand that.
But I can give you the exact measures

Legs are 63.5 cm each and the long side 150,8 cm.
So how can I find the short side.

As the previous helper explained, you cannot. You need an angle measure to be able to proceed.

Try doing the mental exercise that was suggested. Think of the base being fixed. Think of the two equal-length legs being movable, but always being at the same angle to the base. If you move one of the legs further out from the base, then other leg follows in the opposite direction but maintaining the same angle to the base.

As you can see, you can position the two legs at any angle theta, with 0 < theta < 180, and you'll have an isosceles trapezoid. But for every one of those infinitely-many positions, the upper base will be a different length.

 

[Harry_the_cat]

Can you post the question exactly as it appears in the book (or elsewhere) you got it from?

 

[mirabi]

Actually this is the measurements of bench top for Kitchen cabinets that are going to be plased in the corner.

I Attached an daingand ishto know how they came up With the red lines measurements.

 

[stapel]

Actually this is the measurements of bench top for Kitchen cabinets that are going to be plased in the corner.

I Attached an daingand ishto know how they came up With the red lines measurements.

Ah, so you were given the base angles: forty-five degrees. Use this, plus trig, to find the required value.

 

[mmm4444bot]

If the 1066 measurements are precise, then the 1508 measurement is off by almost half a unit.