The value of x in the triangle is (d) 7
How to solve for x?
The complete question is in the attached image.
From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function
[tex]\sin(45) = \frac{x}{7\sqrt 2}[/tex]
Evaluate sin(45)
[tex]\frac 1{\sqrt 2} = \frac{x}{7\sqrt 2}[/tex]
Solve for x
[tex]x = \frac{7\sqrt 2}{\sqrt 2}[/tex]
Divide
x = 7
Hence, the value of x in the triangle is (d) 7
Read more about special triangles at:
brainly.com/question/654982
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