Benny bought 5 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 43 cards left. how many cards did benny start with?

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

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.

fd

step-by-step explanation: