Question

the length of hypotenuse is 2 meter longer than one of its arms The Other arm is 8 metre long what is the length of the hypotenuse ​

Answer 1

Answer:

17 Meters

Step-by-step explanation:

x**2+y**2=h**2

where x and y are arm lengths and h is hypotenuse length.

x**2+8**2=(x+2)**2

x**2+64=x**2+4+4x

16=1+x

15=x

Length of Hypotenuse is x+2

Therefore length of Hypotenuse is 17 meters.

Answer 2

Answer:  17m

Step-by-step explanation:

Let the length of the other arm be x meters

Thus , the length of the hypotenuse will be x + 2 meters

By using the pythagoras theorem , we get :

8² + x² = ( x + 2 )²

64 = x² -  x² + 4x + 4

4x = 64 - 4 = 60

x = 60/4 = 15m

Thus ,  the Length of the hypotenuse = x + 2 = 15 + 2 = 17m