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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