Question

In ABC, if angle B = 90 degrees and bd is perpendicular to ac, if AB = 3 cm, BC = 4 cm, then find BD​

Answer 1

Answer:

5 cm

Step-by-step explanation:

B = 90 degrees

AB = 3 cm

BC = 4 cm

so,this is a right angle triangle

according to pythagoras theorem

(BD²) = (AB²) + (BC²)

(BD²) =  (3²) + (4²)

BD = √ 9+ 16

BD  = √25

BD  = 5 cm

Answer 2

Step-by-step explanation:

Let BD be x cm.

Since, B = 90°

Hence, it's a right angled ∆.

AB = 3 cm

BC = 4 cm

By Pythagoras theorem, we have-

(BD)^2 = (AB)^2 + (BC)^2

x^2 = 3^2 + 4^2

x^2 = 9 + 16

x^2 = 25

x^2 = 5^2

x = 5 cm

Hence, BD is 5 cm

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