Question

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.

Answer 1

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

$\text{hypotenuse}^2=base^2+altitude^2$

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

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

Hence, Option D.