The measure of distance RQ = 72 units.
What are congruence triangles?
If pairings of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form.
Consider triangles SQT and SRQ
Angle RSQ = Angle QST
Angle SRQ = Angle STQ (90 degrees)
side SQ = side SQ (common)
By Angle Angle Side (AAS) property , both triangles are congruent.
Thus, Side RQ = Side QT
Substitute the values,
3x + 12 = 4x - 8
4x - 3x = 12 + 8
x = 20
Put x =20 in RQ
RQ = 3x + 12
= 3×20 + 12
RQ = 72
Therefore, the Side of Triangle RQ = 72 units.
To know more about Angle Angle Side (AAS), here
https://brainly.com/question/3168048
#SPJ2
