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

If AC =15 how long is ED? Help me :(-example-1
User Iamsmug
by
4.6k points

2 Answers

3 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 Bpedroso
by
4.9k points
4 votes

Answer:

7.5

Explanation:

Using similar triangles.

User Ola Sundell
by
5.4k points