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The semi-perimeter of a right angled triangle ABC is 12 cm and the shortest median is 5 cm. What is area of the triangle which has the largest median of triangle ABC as its longest side?
  • a)
    √(73) cm2
  • b)
    10 cm2
  • c)
    12 cm2
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The semi-perimeter of a right angled triangle ABC is 12 cm and the sh...
Given: S = 12 cm & BP = 5 cm
∴ AP = PC = BP = 5 cm
∴ AC = 10 cm
We know the ratio of Right triangle like (3 : 4 : 5)
then we assume the ratio, (6 : 8 : 10)
So, the other two sides = 8 cm , 6 cm
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The semi-perimeter of a right angled triangle ABC is 12 cm and the shortest median is 5 cm. What is area of the triangle which has the largest median of triangle ABC as its longest side?a)√(73) cm2b)10 cm2c)12 cm2d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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