Lshlyptll05viz
Answered

the length of the side of an equilateral triangle is 12 cm find the length of its altitude

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Sagot :

Answer:

The altitude of an equilateral triangle forms a 30-60-90 triangle with hypotenuse equal to one side of the original triangle. The altitude also bisects the base. Then the 30-60-90 triangle has long side (hypotenuse) of 12, short side ( half of the base) of 6. Let x = altitude.

Using Pythagoras theorem, 122 = 62 + x2

144 = 36 +x2

108 = x2 or x2 = (36)(3)

x = √(36)(3) = 6√3

GUWAP0viz

QUESTION

the length of the side of an equilateral triangle is 12 cm find the length of its altitude?

ANSWER

  • 10.4 centimeters

SOLUTION

So let's solve for h:

[tex]

\begin{gathered}c^2=a^2+b^2\\12^2=6^2+h^2\\144=36+h^2\\144-35=h^2\\108=h^2\\h=\sqrt{108} \\h=10.4\end{gathered}c2=a2+b2122=62+h2144=36+h2144−35=h2108=h2h=108h=10.4

[/tex]