A2 1/2 inch nail is driven through a 1 1/8 inch thick piece of wood supporting a joist. how far into the joist did it extend?

inches

Step-by-step explanation:

Given: The length of nail =

The thickness of the wood =

The length extended by nail = inch

First convert the mixed fractions into the improper fraction, we get

⇒The length extended by nail = inch

⇒The length extended by nail = inches

⇒The length extended by nail = inches

∠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.