Respuesta :

Answer:

(D) 20

Step-by-step explanation:

Since this triangle is a right triangle, we can use the pythagorean theorem which is a^2 +b^2 = c^2 (where a is the legs of the triangle and c is the hypotenuse.) For this triangle using the pythagorean theorem we can say that 12^2 +16^2 = x^2. When we simplify this equation we get 144+256=x^2. When we simplify this we get x^2=400. When we take the square root of x we get that x = √400 = 20. The answer is (D) 20.

Answer:

20

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

12^2 + 16^2 = x^2

144+256 = x^2

400 = x^2

Take the square root on each side

sqrt(400) = sqrt(x^2)

20 =x