Question

Help!!! Whats x ive been struggling

Answer 1

x = 2

Explanation:

GIVEN :-

• KJ = 3 units
• QR = 12 units
• JL = x units
• QS = x + 6 units

TO FIND :-

• The value of x

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

`(KJ)/(JL) = (QR)/(QS)`

`=> (3)/(x) = (12)/(x + 6)`

• Cross multiply the denominators.

`=> 3(x + 6) = 12 * x`

`=> 3x + 18 = 12x`

• Substract both the sides from 3.

`=> 12x - 3x = 3x + 18 - 3x`

`=> 9x = 18`

• Divide both the sides by 9

`=> (9x)/(9) = (18)/(9)`

`=> x = 2`