Question

consider triangle def. the legs have a length of 36 units each. what is the length of the hypotenuse of the triangle? 18 units 18√2 units 36 units 36√2 units

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse = $c$, legs $a=36$, $b=36$.
$$c^2 = a^2 + b^2$$

Step2: Substitute values into formula

$$c^2 = 36^2 + 36^2$$
$$c^2 = 2\times36^2$$

Step3: Solve for hypotenuse $c$

$$c = \sqrt{2\times36^2} = 36\sqrt{2}$$

Answer:

D. $36\sqrt{2}$ units