The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
What is the congruent triangle?
Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have a triangle shown in the picture.
It is required to find the measure of the RA
To find the measure of the RA we can apply the concept of congruent triangle:
In the triangle LRU and triangle LAU
LU = LU (common side)
LR = LA (equal sides)
Angle RLU = Angle ALU (equal)
The triangles are congruent.
RU = UA
18 - 2r = 4r
6r = 18
r = 18/6 = 3
The measure of the RA = 18 - 2r + 4r = 18 + 2r
The measure of the RA = 18 + 2(3) = 18+6 = 24 units
Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
Learn more about the congruent triangle here:
brainly.com/question/12413243
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