Respuesta :

Answer:

b. 13cm

Step-by-step explanation:

The given triangle is a right angled triangle.

Z can be found using pythagoras theorem

x =5cm

y = 12cm

z^2 = x^2 + y^2

= 5^2 + 12^2

= 5x5 + 12x12

= 25 + 144

z^2 = 169

z = squared root of 169

z = 13cm

Wolfyy

We can use the Pythagorean theorem to solve for Z.

Formula: [tex]a^2+b^2=c^2[/tex]

a = 5

b = 12

c = ?

We are going to solve for the hypotenuse of the triangle (Z).

[tex]5^2+12^2=c^2[/tex]

[tex]25 + 144 = c^2[/tex]

[tex]168 = c^2[/tex]

[tex]\sqrt{168}=\sqrt{c^2}[/tex]

12.96 ≈ c

Since none of the answer choices contain 12.96, we can round.

12.96 → 13

Therefore, the correct answer is option B.

Best of Luck!