Question

In the given figure it DE || BC then x is equal to:

(A) 3cm
(B) 4m
(C) 7cm
(D) 4.7cm
STEP BY STEP EXPLANATION PLS​

Answer 1

HEY MATE YOUR ANSWER IS HERE.....

GIVEN :-

• DE || BC

• AD = 3 cm

• DB = 4 cm

• DE = 2 cm

TO FIND :-

• LEGTH OF BC OR VALUE OF “X”

PROOF :-

★ IN TRIANGLE ABC AND ADE ★

DE || BC ( GIVEN )

→ SO ANGLE ABC = ANGLE ADE ( ALTERNETIVE INTERIOR ANGLES)

→AND ANGLE DAE = ANGLE DAE ( COMMON)

SO ,

TRIANGLE ADE similar ABC ( BY AA SIMILARITY)

THEREFORE ,

$\frac{ad}{ab } = \frac{de}{bc}$

NOW AB = AD + DB = 3 + 4 = 7cm

SO ,

$\frac{3}{7} = \frac{2}{ {x} } \\ \\ 3x = 14 \\ \\ x = \frac{14}{3}$

HENCE VALUE OF “X” = 4.66 cm ..

THANKS FOR YOUR QUESTION..HOPE IT HELPS ..

KEEP SMILING ☺️☺️✌️