1.

the front of a house is in the shape of equilateral triangle with the measure of one side is 10 meter. find the height of the house?

Answer»

Step-by-step explanation:

let ABC be the TRIANGLE

draw a perpendicular D through A BISECTING BASE BC.

in ∆ADC

hypotenuse=AC=10

base=DC=5

height=AD=?

by PYTHAGORAS theorem,

AC²=DC²+AD²

10²=5²+AD²

AD²=100-25

AD=√75

AD=3√5



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