Question

The two triangles

are similar.
What is the value of x?
Enter your answer in the box.
X =

Answer 1

Ratio remains same

`\\ \rm\bull\rightarrowtail (20)/(3x)=(28)/(4x+2)`

`\\ \rm\bull\rightarrowtail 84x=20(4x+2)`

`\\ \rm\bull\rightarrowtail 84x=80x+40`

`\\ \rm\bull\rightarrowtail 4x=40`

`\\ \rm\bull\rightarrowtail x=10`

Answer 2

Note that:

• (3x)/20 = (4x + 2)/28

Using cross multiplication:

• (3x)/20 = (4x + 2)/28
• => (3x) × 28 = (4x + 2) × 20

Simplifying both sides:

• => 84x = 80x + 40

Subtracting 80x both sides:

• 84x = 80x + 40
• => 84x - 80x = 80x + 40 - 80x

Simplify the LHS:

• => 84x - 80x = 40
• => 4x = 40
• => x = 10