The trapezium

The trapezium is formed by cutting the top of the right-angled isosceles triangle. The base of the trapezium is 10 cm and the top is 5 cm. Find the area of trapezium.

Correct result:

A =  18.75 cm2

Solution:

b1=10 cm b2=5 cm  a12+a12=b12 a22+a22=b22  a1=b1/2=10/2=5 2 cm7.0711 cm  a2=b2/2=5/23.5355 cm  A1=a122=7.071122=25 cm2 A2=a222=3.535522=254=6.25 cm2  A=A1A2=256.25=754=754 cm2=18.75 cm2



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