Find the length of the third side. If necessary, write in simplest radical
form.
8
17

9

Step-by-step explanation:

so we know that its a right triangle and 8 and are not the hypotenuse.

the equation for this is += with c being the hypotenuse.

+=

64+17=

81=c

=c

9=c

Step-by-step explanation:

To make the use of Pythagoras's theorem clear

= +

where C is they hypotenuse or Hyp

A is one side often called  the Adjacent side

B is the other side often called the Opposite side

when A = 8

and B =

then

 = +

= 64 + 17

= 81

C =

C = 9

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.