Question

Help!!! Whats x ive been struggling

Answer 1

Answer:

x = 2

Step-by-step 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. :-

$\frac{KJ}{JL} = \frac{QR}{QS}$

$=> \frac{3}{x} = \frac{12}{x + 6}$

• Cross multiply the denominators.

$=> 3(x + 6) = 12 \times x$

$=> 3x + 18 = 12x$

• Substract both the sides from 3.

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

$=> 9x = 18$

• Divide both the sides by 9

$=> \frac{9x}{9} = \frac{18}{9}$

$=> x = 2$