The ratio of their corresponding side will remain constant. Then the value of x is 4.
What is the triangle?
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The two triangles are ΔDEF and ΔXYZ.
It is given that the ΔDEF and ΔXYZ are similar.
Then the ratio of their corresponding side will remain constant. That is
[tex]\rm \dfrac{5}{10} = \dfrac{2x -1 }{14} =\dfrac{11}{5x +2 }[/tex]
From the first two, we have
[tex]\rm \dfrac{5}{10} = \dfrac{2x -1 }{14}\\[/tex]
On simplifying, we have the value of x
x = 4
More about the triangle link is given below.
https://brainly.com/question/25813512
