I Really Need Help With This Please.

Which congruence statement is correct for these triangles?

the third option

Step-by-step explanation:

the middle alphabet must be the angle point. since the angle point for ABC is B and B is a right angle, the other right angle is D

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus