What will be the size of AP? If BC=10 cm, AC=8 cm

ABC is a triangle in which ∠A=90°. Let P be any point on side AC. If BC=10 cm, AC = 8cm and BP=9 cm, then AP=

  1. 3√3 cm
  2. 2√5
  3. 2√3 cm
  4. 3√5 cm
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 2 Answer(s)

    Answer : (4) 

    sujeetstar24 Newbie Answered on 21st November 2015.
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    Answer: (4) 3 √5

    Explanation:-
    In triangle ABC,
    triangle4
    In right angle triangle ABC,
    AB² = √(BC² – CA²)
    = √(10² – 8²)
    =√(100 – 64)
    AB²    =  √36
    Square root on both side,
    AB = 6 cm

    Again in right triangle ABP,
    AP² = √(BP² – AB²)
    = √(9² – 6²)
    = √(81 – 36)
    AP²  = √45
    Square root on both side,
    AP = 3 √5

    Hence, the answer is (4) 3 √5.

    Anurag Mishra Professor Answered on 22nd November 2015.
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