Question

Help me with please!!

I need help!​

Answer 1

Answer:

Here, As given in all these questions,

Q1.)=Here, Value of AY=3.75cm

Q2.)=Here, Value of YC =4.5cm

Q4.)=Yes, It is a correct figure.

Step-by-step explanation:

Here, As per our given question,

As given figure is a triangleABC in which XY ll BC,

So, Q1.)=AX=3cm, BX=4cm,CY=5cm, AY=?

Now, For finding it, we will do:

=AX/BX=AY/CY (By Thales' theorem)

=3/4=AY/5

On Cross-multiplying between both sides,we get,

=4AY=15

=AY=15/4

=AY=3.75

Hence, Here, The value of AY =3.75cm.

Q2.)=In this question,

=AX=2cm, AB=5cm, AY=3cm, YC=?

Now, As AB=AX+BX

=BX=AB-AX

=BX=(5-2)cm

=BX=3cm

Now,=AX/BX=AY/CY (By Thales' theorem)

=2/3=3/CY

On Cross-multiplying between both sides, we get,

=2CY=9

=CY=9/2

=CY=4.5

Hence, Here,The value of CY =4.5cm.

Q3.)=This question will be done by the same procedure which we used inQ2.)

Q4.)=As given in this question,

=AX=3cm, BX=2cm, AY=1.5cm, CY=1cm

Now, As to check this figure that it is correct or not, we will apply Thales' theorem and then Equate both sides,

=AX/BX=AY/CY (By Thales' theorem)

=3/2=1.5/1

=1.5/1=1.5/1 (On dividing 3/2 we get=1.5)

LHS=RHS

Here, both sides are equal,

Hence, It is a correct figure.

Thank you.