In ΔXYZ, z = 75 inches, x = 26 inches and ∠Y=135°. Find the length of y, to the nearest inch.

\text{S.A.S.}\rightarrow \text{Law of Cosines}

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

u^2 = 730^2+900^2-2(730)(900)\cos 76

u

2

=730

2

+900

2

−2(730)(900)cos76

Plug in values.

u^2 = 532900+810000-2(730)(900)(0.241922)

u

2

=532900+810000−2(730)(900)(0.241922)

Square and find cosine.

u^2 = 532900+810000-317885.37082

u

2

=532900+810000−317885.37082

Multiply.

u^2 = 1025014.62918

u

2

=1025014.62918

Add.

u=\sqrt{1025014.62918} \approx1012.43 \approx1012

u=

1025014.62918

​

≈1012.43≈1012

Step-by-step explanation:

95

Step-by-step explanation:

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