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27 votes
27 votes
If AC =15 how long is ED? Help me :(

If AC =15 how long is ED? Help me :(-example-1
User Kambythet
by
2.8k points

2 Answers

17 votes
17 votes

Answer:

ED=7.5

Explanation:

ΔABC is similar to ΔDEB (they share ∠B, and ∠C=∠D and ∠A=∠E because corresponding angles), so their sides are in ratio:

ED/AC=BD/BC

We can see that BC is twice BD (marked), so we know BD/BC=0.5

ED/AC=BD/BC

ED/15=0.5

ED=7.5

User Suellen
by
3.5k points
29 votes
29 votes

Answer:

7.5

Explanation:

Using similar triangles.

User Damien Marchand
by
3.0k points