Trapezium bases

Find the trapezium height if a = 8 cm and c = 4 cm if its content 21 square centimeters.

Result

h =  3.5 cm

Solution:

a=8 c=4 S=21 S=(a+c)h/2 h=2⋅ S/(a+c)=2⋅ 21/(8+4)=72=3.5 cma=8 \ \\ c=4 \ \\ S=21 \ \\ S=(a+c)h/2 \ \\ h=2 \cdot \ S/(a+c)=2 \cdot \ 21/(8+4)=\dfrac{ 7 }{ 2 }=3.5 \ \text{cm}

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