Question

segment bc of length 4 metre is divided into two parts such that BD square is equal to DC into BC find the length ofDc​

Answer 1

Answer:

4 it may help u

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Answer 2

DC=6−2

5

m

Step-by-step explanation:

Given:

BC = 4 m

Let BD = x

Then DC=4-x

BD^2=DC*BCBD

2

=DC∗BC

\implies\:x^2=(4-x)*4⟹x

2

=(4−x)∗4

\implies\:x^2=16-4x⟹x

2

=16−4x

\implies\:x^2+4x-16=0⟹x

2

+4x−16=0

To find x, we solve this equation

\implies\:x^2+4x-16=0⟹x

2

+4x−16=0

x^2+4x=16x

2

+4x=16

x^2+4x+4=16+4x

2

+4x+4=16+4

(x+2)^2=20(x+2)

2

=20

x+2=x+2= ±2\sqrt52

5

x=-2x=−2 ±2\sqrt52

5

But x cannot be negative

x=-2+2\sqrt5x=−2+2

5

x=2\sqrt5-2x=2

5

−2

Now,

DC=4-(2\sqrt5-2)DC=4−(2

5

−2)

DC=4-2\sqrt5+2DC=4−2

5

+2

DC=6-2\sqrt5\:mDC=6−2

5

m

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