Question

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

Answer 1

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}`