Question

please solve it fast. 50 point ​

Answer 1

Answer:(i)x=6, y=2√5, z=3√5  (ii)x=5, y=2√5, z=3√5

Step-by-step explanation:

(i)As per similarity of triangle,

ΔBDC≅ΔABC

So, DC/BC=BC/AC

⇒5/z=z/9

z²=45

z=3√5

Now, ΔADB≅ΔABC

AD/AB=AB/AC

⇒4/x=x/9

x²=36

x=6

AD/BD=AB/BC

4/y=6/3√5

y=2√5

(ii)Similarly,

ΔPSQ≅ΔPQR

PS/PQ=PQ/PR

4/6=6/4+x

16+4x=36

x=5

PQ/QS=PR/QR

6/y=9/z

2z=3y--------(1)

RS/QS=SQ/PS

5/y=y/4

y²=20

y=2√5

From (1),

2z=3(2√5)

z=3√5

  Hope it helps you..

Answer 2

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