Advertisements
Advertisements
Question
In ΔABC, sides AB and AC are extended to D and E respectively, such that AB = BD and AC = CE. If BC = 6 cm, then DE = ______.
Fill in the Blanks
Advertisements
Solution
In ΔABC, sides AB and AC are extended to D and E respectively, such that AB = BD and AC = CE. If BC = 6 cm, then DE = 12 cm.
Explanation:
Since AB = BD and AC = CE, B and C are midpoints of AD and AE respectively. In triangle ADE the segment joining midpoints B and C is parallel to DE and equals half its length (midpoint theorem).
Therefore DE = 2 × BC
= 2 × 6
= 12 cm
shaalaa.com
Is there an error in this question or solution?
