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A wing of Samuel's model airplane is in the shape of a triangle with the dimensions shownbelow. What is the value of x?A. 75B. 55C. 35D. 573.

A Wing Of Samuels Model Airplane Is In The Shape Of A Triangle With The Dimensions Shownbelow What Is The Value Of XA 75B 55C 35D 573 class=

Sagot :

Given that, the triangle is a right angled triangle. Therefore,

[tex]\text{hypotenuse}^2=base^2+altitude^2[/tex]

Given that, hypotenuse is 10, altitude is 5 and base is x. Thus,

[tex]\begin{gathered} 10^2=x^2+5^2 \\ x^2=100-25 \\ x^2=75 \\ x=5\sqrt[]{3} \end{gathered}[/tex]

Hence, Option D.

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