Question

The front of the house is in the shape of an equilaterel triangle with the measure of one side is 10m . find the height of the house​

Answer 1

Answer:

The triangle is 10m on each side.

set x = height

Using Pythagorean theorem

x^2 + (5 which is is 1/2 of the base)^2 = 10^2

x^2 + 5^2 = 10^2

x^2 + 25 = 100

subtract 25 from each side

x^2 = 75

x = sqrt(75) = 8.66m