Question

The centroid of ∆ABC for A( 2, 4 ), B( 3, 5 ), C( 4, 3 ) is G

Answer 1

Answer:

In ΔCEF, CE = 10 cm and EF = 6cm Using Pythagoras theorem: CE2 = CF2 + EF2 CF2 = CE2 – EF2 CF2 = 102 – 62 CF2 = 100-36 CF2 = 64 CF = 8 cm From the figure we can write, Area of trapezium = Area of parallelogram AECD + Area of area of triangle CEF Area of trapezium = base × height + 1/2 (base × height) Area of trapezium = 13 × 8 + 1/2 (12 × 8) Area of trapezium = 104 + 48 = 152 ∴ Area of trapezium = 152 cm2Read more on Sarthaks.com - https://www.sarthaks.com/675062/the-parallel-sides-trapezium-nonparallel-sides-equal-each-being-find-area-the-trapezium