Question

The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards. Find

the length of the rafter. Round to the nearest 100th.

Answer 1

Using Pythagorean theorem:-
`a^(2) +b^(2) =c^(2)`

a= 13

b= 9

c= ? ( length)

`13^(2) +9^(2) =?^(2)`

`13^(2) =169`

`9^(2) =81`

`169+81=?^(2)`

`250=?^(2)`

`√(250)=15.811`

`?=15.81`

OAmalOHopeO

Answer 2

15.81 = ?

Explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?