A wire of length 20cm is cut into two pieces, each of which is bent into a square, (a) If the length of the side of one square is x cm, show that the length
of the side of the other square is (5 - x) cm.
The total area of the two squares is 14.5cm
(b) Find the lengths of the two pieces of wire.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

step-by-step explanation:

the answer is 128