Plz asap last simmilar and congruent triangles

Since Y is the right angle of the triangle LNT, LT is the hypotenuse of that triangle. We are going to use the Pythagorean equation to find the measure of LT:




We can infer from our picture that triangles LNT and YNT are similar. And remember that in similar triangles the corresponding sides are proportional, so we can establish a proportion between sides LT and NT, and between sides  LY and TY:


Solving for NT:



Now the perimeter of our rectangle LINT will be 2LT + 2NT. 


We can conclude that the perimeter of the rectangle LINT is 22.76 units

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