consider triangle def. the legs have a length of 36 units each. what is the length of the hypotenuse of the…

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

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

Answer

Explanation:

Step1: Aplicar el teorema de Pitágoras

Para un triángulo rectángulo con catetos (a) y (b) y hipotenusa (c), (c^{2}=a^{2}+b^{2}). Aquí (a = 36) y (b = 36). [c^{2}=36^{2}+36^{2}] [c^{2}=2\times36^{2}]

Step2: Calcular la hipotenusa

Tomar la raíz cuadrada de ambos lados. [c=\sqrt{2\times36^{2}}=\sqrt{2}\times\sqrt{36^{2}} = 36\sqrt{2}]

Answer:

36√2 units