Question

In the diagram, triangle RST is congruent to triangle XYZ. Find x.

a. 7
b. 12
c. 35
d. 15

Answer 1

Answer: (c) 35 is the correct option.

Step-by-step explanation: Given that triangles RST and XYZ are congruent to each other.

We are to find the value of x.

From the figure, we note that

RT = (x +21) units and XZ = (2x - 14) units.

Since RT and XZ are corresponding parts of the congruent triangles, so we must have

`RT=XZ\\\\\Rightarrow x+21=2x-14\\\\\Rightarrow 2x-x=21+14\\\\\Rightarrow x=35.`

Thus, the value of x is 35.

Option (c) is CORRECT.

Answer 2

In the diagram where as the triangle RST is cognruent to triangle XYZ and ask to calculate the value of X. Base on my calculation and through step by step procedure and with the guidance of the theories and by the use of formulas, I came up with an answer of 35.