in right angled triangle triangle ABC BD perpendicular AC if AD= 4, DC =9 then find BD
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Answered by
81
Answer:
6 cm
Step-by-step explanation:
Given In right angled triangle triangle ABC, BD perpendicular AC if AD= 4, DC =9 then find BD
In a right angled triangle ABC, A is common, angle ABC = angle ADB
BD is perpendicular to AC.
ABC is similar to ADB
AB / AD = AC / AB
AB ^2 = AD x AC (because AC = AD + CD = 4 + 9 = 13 cm)
AB^2 = 4 x 13
AB^2 = 52
AB = √52
AB = 2√13 cm
AB^2 = AD^2 + BD^2
(2√13)^2 = 4^2 + BD^2
16 + BD^2 = 52
BD^2 = 52 - 16
BD^2 = 36
BD = 6 cm
Answered by
15
Answer: 6cm
Step-by-step explanation:
attach to the above answer
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