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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.

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 Rou class=

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Answer:

15.81 = ?

Step-by-step 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 = ?

Answer:

Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]

a= 13

b= 9

c= ? ( length)

[tex]13^{2} +9^{2} =?^{2}[/tex]

[tex]13^{2} =169[/tex]

[tex]9^{2} =81[/tex]

[tex]169+81=?^{2}[/tex]

[tex]250=?^{2}[/tex]

[tex]\sqrt{250}=15.811[/tex]

[tex]?=15.81[/tex]

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