An isosceles right triangle has a hypotenuse length that can be modeled with the function h of x is equal to x square root of 2 The combined length of the legs can be modeled with the function cap l times x is equal to 2 x Which function, p times x , can be used to find the perimeter of the triangle?
Answer
A
p times x is equal to 2 x square root of 2 plus 4 x
B
p times x is equal to x square root of 2 plus 4 x
C
p times x is equal to x over 2 square root of 2 plus x
D
p times x is equal to x square root of 2 plus 2 x
Explanation
The perimeter is the sum of the hypotenuse and the combined lengths of the two legs. Using the given functions, p(x) = h(x) + l(x) = x√2 + 2x. This matches choice D.
AI-written and checked against the verified answer.