ABC is an obtuse triangle.M is the midpoint of AC ME is perpendicular to BC and perpendicular to BC.Area of ABC=30cm²,then find the area of DEC. The correct answer will be marked brainliest
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∆ABC is right - angled at A.
so, BC is definitely hypotenuse.
let AB is base and AC is altitude of ∆ABC.
given, AB = 5cm , BC = 13cm and AC = 12cm
now, area of triangle ∆ABC = 1/2 × base × altitude
= 1/2 × length of AB × length of AC
= 1/2 × 5cm × 12cm = 30 cm²
hence, area of ∆ABC = 30cm²
area of ∆ABC = 1/2 × length of AB × length of AC = 1/2 × length of BC × length of AD
=> 5cm × 12cm = 13cm × length of AD
=> 60/13 = length of AD
hence, length of AD =60/13 cm
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