Answered

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How to calculate the height of the house?

Sagot :

Given:

BC is height of house that mean BC is perpendicular .

AB is base of triangle

AB = 10

AC is hypotenuse of triangle

AC = 12

Use Pythagorean theorem:

[tex]\text{hypotenuse}^2=perpendicular^2+base^2[/tex][tex]\begin{gathered} (12)^2=(BC)^2+(10)^2 \\ 144=(BC)^2+100 \\ 144-100=(BC)^2 \\ 44=(BC)^2 \\ BC=\sqrt[]{44} \\ BC=6.63 \end{gathered}[/tex]

So the height of house is 6.63

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