Three parallel lines are by two transversals as shown in the given figure- If AB-2cm- BC-4cm and DE-1-5cm- then the length of EF is -2cm3cm3-5cm4cm

Question

Toppr Admin · Accepted Answer

Side Splitter Theorem states that-xA0-If a line is parallel to a side of a triangle and intersect the other two sides- then this line divides those two sides proportionally-By this-ABBC-DEEF-x21D2-24-1-5EFEF-3-xA0-cm

Three parallel lines are cut by two transversals as shown in the given figure. If AB $= 2$ cm, BC $= 4$ cm and DE $= 1.5$ cm, then the length of EF is ___________.

$2$ cm
$3$ cm
$3.5$ cm
$4$ cm

Side Splitter Theorem states that,
If a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.

By this,

$\frac{A B}{B C} = \frac{D E}{E F}$

$\Rightarrow \frac{2}{4} = \frac{1.5}{E F}$

$E F = 3 c m$

Three parallel lines are cut by two transversals as shown in the given figure. If AB=2cm, BC=4cm and DE=1.5cm, then the length of EF is ___________.2cm3cm3.5cm4cm

Side Splitter Theorem states that, If a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.By this,ABBC=DEEF⇒24=1.5EFEF=3 cm

Three parallel lines are cut by two transversals as shown in the given figure. If AB $= 2$ cm, BC $= 4$ cm and DE $= 1.5$ cm, then the length of EF is ___________.

$2$ cm
$3$ cm
$3.5$ cm
$4$ cm

Side Splitter Theorem states that,
If a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.

By this,

$\frac{A B}{B C} = \frac{D E}{E F}$

$\Rightarrow \frac{2}{4} = \frac{1.5}{E F}$

$E F = 3 c m$