Special Lines: Tutorial 17 of 25
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In a local park, there is a straight path passing by a fountain and a gazebo. The path is represented by a line passing through
the points F(4.14) and G(7.2) on a map, as shown.
The park directors plan to add two new paths.
YA
+20
-18
16
-14
F
-12
- 10
18
16
GI
3 on Pn Group
S2 PM
NO

I NEED HELP ASAP! Please?

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.