Question

how to construct rectangle when one side and one diagonal is given?
ex: AD = 4.8 cm and diagonal AC = 6.4cm.​

Answer 1

Answer:

Let the ractangle be ABCD

Draw a line segment AD of 4.8 cm BASE

And the Diagonal is 6.4 cm HYPOTENUSE

Find the other side using Phtyogores triplets

Hypotenuse ²=base²+perpendicular ²

let's perpendicular be x

6.4²=4.8²+x²

40.96=23.04+x²

50.96-23.04=x²

27.92=x²

√27.92=x

x=5.28

So answer is 5.28

Now using D as center draw a line of 5.28 using 90 degree angle match both the lines and one triangle is created use the same measurements and steps to create other part of Ractangle