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3 years ago

PLEASE HELP WILL MARK AS BRAINLIEST

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

$\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}$

Step-by-step explanation:

Using Pythagorean Theorem first to find EC

$\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm$

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium = $\sf \frac{AB+DC}{2} (EC)$

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = $\sf \frac{17+8}{2} ( 12)$

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

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