five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. their names are placed in a hat, and four names are chosen at random to decide who attends the fair. what is the theoretical probability that chandra will be chosen as one of the science fair participants?

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.

(2,6)

step-by-step explanation:

cause i just did this and got the answer

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