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Question from joanna:

left vertical measurement 2560mm
right vertical measurement 1850mm
base horizontal measurement 1750mm
question - what will the 4th measurement be please.
using a scale drawing I make it approx 1900mm but require an accurate measurement

regards

Joanna

Hi Joanna,

You use the terms horizontal and vertical so I am assuming the the angles $CDA$ and $DAB$ in my rough sketch are right angles.

quadrilateral

I drew the line $BE$ parallel to $DA$ and hence angle $CEB$ is a right angle and hence we can use Pythagoras Theorem on the triangle $CEB.$ thus

\[|BC|^2 = |CE|^2 + |EB|^2 = (2560 - 1850)^2 + 1750^2 \;mm^2\]

and hence

\[|BC| = \sqrt{3566600} = 1888.54 \;\; mm\]

Penny

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