Question

In triangle ABC E,F are mid point of AB and AC respectively.If BC=10cm,then the length of EF is equal to___cm​

Answer 1

Answer:

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Answer 2

☆Given Question :-

In triangle ABC, E and F are mid point of AB and AC respectively. If BC = 10cm, then the length of EF is equal to___cm

__________________________________________

☆Required Answer:-

$\sf \: EF = 5 \: cm$

☆Explanation:-

$\large\sf{Given:-}</p><p>$

A triangle ABC, in which E and F are mid point of AB and AC respectively and BC = 10cm

$\large\sf{To \:Find:-}$

The length of EF.

$\large\sf{Concept \: used :-}$

☆Midpoint Theorem:-

• The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

$\large\sf{Processing:- }$

$\sf \: ⟼In \: triangle \: ABC$

$\sf \: E \: is \: the \: midpoint \: of \: AB$

$\sf \: F \: is \: the \: midpoint \: of \: AC$

$\bf \:  \large \red{so} ✍$

$\sf \: ⟼By \: using \: Midpoint \: Theorem$

$\sf \: ➭EF = \: \dfrac{1}{2} BC$

$\sf \: ⟼EF = \dfrac{1}{2} \times 10$

$\sf \: ⟼EF = 5 \: cm$

$\large{\boxed{\boxed{\bf{Hence, EF = 5 cm}}}}$

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$\large \green{\bf \: ⟼ Explore \: more } ✍$

☆Properties of a triangle

• A triangle has three sides, three angles, and three vertices.

• The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.

• The sum of the length of any two sides of a triangle is greater than the length of the third side.

• The side opposite to the largest angle of a triangle is the largest side.

• Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.

☆Based on the angle measurement, there are three types of triangles:

• Acute Angled Triangle : A triangle that has all three angles less than 90° is an acute angle triangle.

• Right-Angled Triangle : A triangle that has one angle that measures exactly 90° is a right-angle triangle.

• Obtuse Angled Triangle : triangle that has one angle that measures more than 90° is an obtuse angle triangle.