Question

What is the length of the hypotenuse of the triangle?

Answer 1

8x8 + 15x15 = y^2

64+225 = 289

take the square root of 289 which = 17

ANSWER = C. 17

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

According to the Pythagoras theorem, in a right angled triangle

$hypotenuse^2=perpendicular^2+base^2$

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,

$(AB)^2=(CB)^2+(AC)^2$

$(AB)^2=(15)^2+(8)^2$

$(AB)^2=289$

$AB=\sqrt{289}$

$AB=17$

The length of the hypotenuse of the triangle is 17 cm. Therefore the correct option is C.