Given:
Base of the triangle = 5 cm
Let's find the altitude of the triangle x.
Let's first solve for each base of the triangle:
[tex]\frac{5}{2}=2.5\operatorname{cm}[/tex]
Here, we have an equilateral triangle.
This means the length of each side of the big triangle is 5 cm.
To find the length of x, apply Pythagorean Theorem:
[tex]c^2=a^2+b^2[/tex]
Where:
a = 2.5 cm
c = 5 cm
Let's solve for b.
Rewrite the equation for b:
[tex]\begin{gathered} b=\sqrt[]{c^2-a^2} \\ \\ b=\sqrt[]{5^2-2.5^2} \\ \\ b=\sqrt[]{25-6.25} \\ \\ b=\sqrt[]{18.75} \\ \\ b=4.3 \end{gathered}[/tex]
Therefore, the length of x is 4.3 cm
ANSWER:
x = 4.3 cm
