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find the length of the missing side of a triangle. 85in 84in what's the length of the missing side

Find The Length Of The Missing Side Of A Triangle 85in 84in Whats The Length Of The Missing Side class=

Sagot :

13 in

Explanation

let's use the Pythagoras theorem

[tex]\text{side}^2+side^2=hyp^2[/tex]

then, let

adjancent side=side1=84 in

opposite side= y

hypotenuse=85 in

now, replace

[tex]\begin{gathered} 84^2+y^2=85^2 \\ 7056+y^2=7225 \\ \text{subtract 7056 in both sides} \\ 7056+y^2-7056=7225-7056 \\ y^2=169 \\ \sqrt[]{y}=\sqrt[]{169} \\ y=13 \end{gathered}[/tex]

so, the missing side is 13 in.

I hope this helps you

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