Step-by-step explanation:
[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]
Answer:
11.3 cm
since this is an equilateral triangle it's every sides are equal
side length (a) = 13 cm
formula to calculate the height of equilateral triangle is
h = [tex]a *\frac{\sqrt{3} }{2}[/tex]
=[tex]13 * \frac{\sqrt{3} }{2}[/tex]
=[tex]\frac{13\sqrt{3} }{2}[/tex]
=11.25
=11.3
