ABC is a right angled triangle, where AB = BC = 10 cm. D and F are midpoints of AB and BC respectively. DE and EF are parallel to BC and AB respectively. What is the area of the shaded region?a)25 cm2b)50 cm2c)20 cm2d)30 cm2Correct answer is option 'A'. Can you explain this answer?

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ABC is a right angled triangle, where AB = BC = 10 cm. D and F are midpoints of AB and BC respectively. DE and EF are parallel to BC and AB respectively. What is the area of the shaded region?

a)
25 cm²
b)
50 cm²
c)
20 cm²
d)
30 cm²

Correct answer is option 'A'. Can you explain this answer?

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ABC is a right angled triangle, where AB = BC = 10 cm. D and F are mid...

⇒ Area of ΔABC,
⇒ 1/2 × 10 × 10
⇒ 50 cm²
According to problem, BDEF is a square
∴ Area of BDEF,
⇒ 5² [∵ BD = AB/2 = 5cm]
⇒ 25 cm²
∴ Area of the shaded region,
⇒ 50 – 25
⇒ 25 cm²

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ABC is a right angled triangle, where AB = BC = 10 cm. D and F are midpoints of AB and BC respectively. DE and EF are parallel to BC and AB respectively. What is the area of the shaded region?a)25 cm2b)50 cm2c)20 cm2d)30 cm2Correct answer is option 'A'. Can you explain this answer?

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