Question:
In a Δ ABC , ∠A = 90 degree , AB = 5 cm and AC = 12 cm . IF AD ⊥ BC , then AD =
Answer:
Given triangle is ABC
AB = 5, AC = 12 and A = 90
Now BC2 = BA2 + AC2
= 52 + 122
= 25 + 144
= 169
=> BC = √169
=> BC =13
Now traingle ABD is similar to ABC
=> BA/BC = AD/DC
=> 5/13 = AD/12
=> AD = (5*12)/13
=> AD = 60/13
=> AD = 4.615
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