203k views
2 votes
Given triangle ABC is congruent to triangle HJR. What is the length of side AB? 59 63 1.143 5.143

Given triangle ABC is congruent to triangle HJR. What is the length of side AB? 59 63 1.143 5.143-example-1

1 Answer

4 votes

Answer:

AB=5.143​ units

Step-by-step explanation:

Given that:


\text{Triangle ABC}\cong\text{Triangle HJR}

Then:


(AB)/(HJ)=(AC)/(HR)=(BC)/(JR)

Substituting the given values, we have:


\begin{gathered} (x+4)/(18)=(6)/(21) \\ 21(x+4)=6*18 \\ 21x+84=108 \\ 21x=108-84 \\ 21x=24 \\ x=(24)/(21) \end{gathered}

Therefore, the length of side AB is:


\begin{gathered} AB=x+4 \\ =(24)/(21)+4 \\ =5.143 \end{gathered}

User JULIEN PICARD
by
3.5k points