Respuesta :

wolf1728
The height of an equilateral triangle is found by the formula:
height = (sq root (3) / 2 ) * side length
height = ( 1.7320508076  / 2) * 10
height = (  0.8660254038 ) * 10
height = 8.660254038 inches     


shubhamchouhanvrVT

The height AD of the triangle will be equal to 8.66 inches.

What is the Pythagorean theorem?

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

By applying the Pythagorean theorem in the given triangle:-

AB²  =  BD²   +   AD²

AD²   =   AB²   -  BD²

AD²  =   10²   -    5²

AD    =  √(100   -   25 )

AD   =   8.66 inches

Therefore the height AD of the triangle will be equal to 8.66 inches.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

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