Question

What is the length of the hypotenuse of the triangle?

A. √94 cm
B.√161 cm
C.17 cm
D.23 cm

Answer 1

8x8 + 15x15 = y^2

64+225 = 289

take the square root of 289 which = 17

ANSWER = C. 17

Answer 2

The correct option is C.

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=√(289)`

`AB=17`

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