8x8 + 15x15 = y^2
64+225 = 289
take the square root of 289 which = 17
ANSWER = C. 17
Answer:
The correct option is C.
Step-by-step explanation:
According to the Pythagoras theorem, in a right angled triangle
[tex]hypotenuse^2=perpendicular^2+base^2[/tex]
From the given figure it is clear that the triangle ABC is right angled triangle. Where, CB is perpendicular, AC is base and AB is hypotenuse.
Using Pythagoras we get,
[tex](AB)^2=(CB)^2+(AC)^2[/tex]
[tex](AB)^2=(15)^2+(8)^2[/tex]
[tex](AB)^2=289[/tex]
[tex]AB=\sqrt{289}[/tex]
[tex]AB=17[/tex]
The length of the hypotenuse of the triangle is 17 cm. Therefore the correct option is C.
