I need help please

Given:

and .

To find:

Whether is possible or not.

Solution:

We have,

                     (CPCTC)

             ...(i)

And,

             ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

             ...(iii)

Now,

         (Linear pair)

            (Using (iii))

Divide both sides by 2.

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement is not possible.

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.