On a bicycle trail, the city is painting arrows like the one shown below:

Calculate the area of the arrow by decomposing it into rectangles and triangles.
128 square centimeters
135 square centimeters
146 square centimeters
168 square centimeters

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.

27 +27 or 27times 2=54

the diffrence is 0