To find: The function that models the perimeter of right triangle in terms of its shorter length whose one leg is twice as long as other leg.
The function that model the perimeter is .
Draw the diagram of right triangle as shown in the figure below.
Let be x, be y and as per given condition is .
Apply Pythagorean Theorem in triangle
Substitute y for , x for and for in above equation.
Take square root of above equation.
Perimeter of a triangle is sum of all the sides.
Substitute for y in above equation.
Thus, the function that models the perimeter of the triangle is .
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