Answered

If triangle TLY is similar to triangle CHK, find LY
The sides from T to L is 25 from L to Y is 4x-1.
On the other triangle Side, C to H is 10 and from H to K is x+5

Answer :

Answer:

Therefore the Length LY is 35 unit.

Step-by-step explanation:

Given:

ΔTLY is Similar to ΔCHK

TL = 25

LY = 4x -1

CH = 10

HK = x + 5

To Find:

LY = ?

Solution:

Δ TLY ~ Δ CHK ........Given

If two triangles are similar then their sides are in proportion.  

[tex]\dfrac{TL}{CH} =\dfrac{LY}{HK} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]  

Substituting the values we get

[tex]\dfrac{25}{10} =\dfrac{4x-1}{x+5}\\\\\dfrac{5}{2} =\dfrac{4x-1}{x+5}\\\\5(x+5)=2(4x-1)\\5x+25=8x-2\\3x=27\\\\x=\dfrac{27}{3}=9\\\\x=9[/tex]

Substituting 'x' in LY we get

[tex]LY=4\times 9 - 1=36-1=35\ unit[/tex]

Therefore the Length LY is 35 unit.

Other Questions