Answer:
For 1st triangle value of BC side =9CM
For 2nd triangle value of EF side =6FT
For 3rd triangle value of CE side=13.03YD
Using Pythagorean theorem which gives the formula of deriving Hypotenuse in an equilateral triangle.
Formula
c²= a² + b²
using this formula
AB= 12CM
BC=xCM
AC=15CM
AC²= AB² + BC²
BC²= AC²-AB²
x²CM= 225CM - 144CM
X²= 81CM
X=9 CM
Similarly
EF²= GE² - GF²
x²FT= 100FT - 64FT
x²= 36 FT
x= 6FT
For the last
CE² YD= CD² YD + CE² YD
x² YD= 49 YD + 121 YD
x² YD= 170 YD
x YD= 13.03 YD
Explanation: