Use DEF to complete the statement angle E is the included angle between sides A) FE and DE
B) FE and DE
C) FD and DF

Angle E is the included angle between the sides FE and DE

The included angle between sides FE and DF is the angle F

Step-by-step explanation:

we know that

An included angle is the angle between two sides of a triangle

In the triangle DEF

we have

The included angle F is the angle between the sides FE and FD

The included angle E is the angle between the sides FE and DE

The included angle D is the angle between the sides DF and DE

therefore

In this problem

Angle E is the included angle between the sides FE and DE

The included angle between sides FE and DF is the angle F

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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.