Plssssss helpppp

Question

Solve for x pls. Link to math problem

Answer 1

Use law of sines to solve for the side shared by the two triangles.

(sin90) = sin(30)

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x 5√2

5√2sin(90) = xsin(30)

divide both sides by sin(30)

x = 5√2/sin(30)

x = 5√2/(1/2)

x = 10√2

Thus, the hypotenuse of the triangle with x as the side length is 10√2

This is a right isosceles triangle with matching leg lengths, so we can use pythagoreans theorem.

(x)² + (x)² = (10√2)²

2x² = 200

divide by 2 on both sides

x² = 100

take the square root of both sides

x = 10