Answer:
5√3
Step-by-step explanation:
An equilateral triangle is a triangle that has all same 3 measurements of 60°, and since all measurements are same, all sides are also equal too.
Hence, there'll be 3 sides that are 10 units. Since the base is divided into half, each will be 5 for base.
Then apply Pythagoras Theorem where states that:
[tex]\displaystyle{c=\sqrt{a^2+b^2}}[/tex] or [tex]\displaystyle{c^2=a^2+b^2}[/tex]
where c is hypotenuse, a and b can be defined either adjacent or opposite.
We know that our adjacent is 5 units, opposite is h unit(s) and hypotenuse is 10 units. Apply the theorem:
[tex]\displaystyle{10^2=h^2+5^2}[/tex]
Solve the equation for h-term:
[tex]\displaystyle{100=h^2+25}\\\\\displaystyle{100-25=h^2}\\\\\displaystyle{75=h^2}\\\\\displaystyle{h=5\sqrt{3} }[/tex]
Therefore, the height or value of h is 5√3
The picture is attached for visual reference regarding sides of triangle. If you have any questions, please let me know in the comment!
