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What is the height for the triangle

What Is The Height For The Triangle class=

Sagot :

Answer:

height = 13.87m

Step-by-step explanation:

From the pic, it is clear that the triangle is an equilateral triangle with sides 16m.

To  find the height of the triangle draw a perpendicular bisector from the top of the triangle to the base.

Now we 2 right triangles with base 8m  and side 16m and height will be the length of the perpendicular line.

Using Pythagoras theorem,

[tex]hypotenuse^2 = base^2 + height^2\\16^2 = 8^2 + height^2\\256 - 64 = height^2 \\height = \sqrt{192} = 13.866[/tex]

the height would be 13.87m hopes this helps!