ABC is a triangle in which E and F are the midpoint of AB and AC and E

1.	ABC is a triangle in which E and F are the midpoint of AB and AC and EF ∥ BC Find the length of BC is EF is 10.5 cm?1. 21 cm2. 18 cm3. 15 cm4. 25 cm
Answer» Correct Answer - Option 1 : 21 cm Given: ABC is a triangle in which E and F are the midpoint of AB and AC and EF ∥ BC and EF is 10.5 cm Concept Used: According to midpoint theorem If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides. Calculation: EF = 10.5 cm where E and F are the midpoint of AB and AC and EF ∥ BC the according to midpoint theorem ∴ EF = BC/2 ⇒ BC = 2 × 10.5 = 21 cm

ABC is a triangle in which E and F are the midpoint of AB and AC and EF ∥ BC Find the length of BC is EF is 10.5 cm?1. 21 cm2. 18 cm3. 15 cm4. 25 cm

Answer» Correct Answer - Option 1 : 21 cm

Given:

ABC is a triangle in which E and F are the midpoint of AB and AC and EF ∥ BC and EF is 10.5 cm

Concept Used:

According to midpoint theorem If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

Calculation:

EF = 10.5 cm where E and F are the midpoint of AB and AC and EF ∥ BC the according to midpoint theorem

∴ EF = BC/2

⇒ BC = 2 × 10.5 = 21 cm

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