Question

Solve for X enter your answer in the box

Answer 1

Answer:

x = 6

Step-by-step explanation:

Answer 2

Answer:

x = 6

Step-by-step explanation:

GIVEN :-

• AD ║ BC
• AE = 16 units
• AB = 5x + 2 units
• DE = 12 units
• DC = 24 units

TO FIND :-

• Value of x

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Basic Proportionality Theorem -

If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.

SOLUTION :-

AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -

$\frac{AE}{AB} = \frac{DE}{DC}$

$=> \frac{16}{5x + 2} = \frac{12}{24}$

$=> \frac{16}{5x + 2} = \frac{1}{2}$

$=> 5x + 2 = 16 \times 2 = 32$

$=> 5x = 32 - 2 = 30$

$=> x = \frac{30}{5} = 6$