Triangle abc is similar to triangle xyz. side ab measures 2, side bc measures x + 5, side ca measures x + 7, side xy measures 4 and side yz measures 5x – 5. find the value of x. 6.33 7.2 5 8

Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side YZ measures 5x – 5. Find the value of x.

As, triangle ABC is similar to triangle XYZ

So, the ratios of sides is equal

AB=2, BC=x+5, XY=4 ,YZ=5x-5

Let us use

To get rid of fractions, Let us multiply by 4(5x-5)

2(5x-5)=4(x+5)

10x-10=4x+20

To solve for x, Let us collect x terms

So, Let us subtract 4x from both sides

10x-4x-10=4x-4x+20

6x-10=0+20

Adding 10 on both sides

6x-10+10=20+10

6x+0=30

So, 6x=30

To, solve for x, Let us divide by 6 on both sides

So,

So,

x=5

So, the value of x=5 Answer

we have given the two triangles which is similar.

we know that in similar triangles ratio of corresponding sides are equal.

in triangle ABC and XYZ

the value of x is 5 is found out by using ratio of corresponding sides are equal .