A small triangular piece of metal is needed to add support to a trailer frame. The hypotenuse has a length of 35 cm and the base is a cm. If the angle between the base and hypotenus is θ and known to be 27∘, what is the length of a to the nearest tenth of a centimeter? (Do not include units in your answer)

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.

ratio is 2 : 9

the answer is three

13.5 : 3