Question

The angle BAC is a right angle and AD is perpendicular to BC;AB=4cm, AC=3cm and BD=x. calculate x.​

Answer 1

Answer:

Step-by-step explanation:

Given:-

l(AD) || l (BC)....(means it divides the seg(BC) in two equal halfs).

Seg(AB) = 4cm

Seg(AC) = 3 cm

And ∆BAC = 90°

Let's first calculate the length of seg(BC),

(Hypotenuse)² = (Base)² + (Height)²

(BC)² = (AC)² + (AB)²

(BC)² = (3)² + (4)²

(BC)² = 9 + 16

(BC)² = 25

(BC) = √25 = 5

Now, the seg(AD) bisects the line BC perpendicularly. To find x i.e. Seg (BD),

x = 1/2 × 5

x = 5/2

x = 2.5

Your answer is

x = 2.5

Hope this will help you!!!!!