图中这道题怎么做?---Extraction Content:
Knowledge Point: 考点3 勾股定理的逆定理 (Knowledge Point 3: Converse of the Pythagorean Theorem)
Question Stem:
例3 (Example 3)
如图, 在△ABC 中, AB = 3, AC = 4, BC = 5, AD 是△ABC 的角平分线, DE ⊥ AC 于点 E, 则 DE 的长是_______.
Given Information:
In triangle ABC, AB = 3, AC = 4, BC = 5.
AD is the angle bisector of ∠BAC.
DE ⊥ AC at point E.
Question:
Find the length of DE.
Diagram Description:
Type: Geometric figure (Triangle).
Main Elements:
- Triangle ABC with vertices labeled A, B, C. A is at the top, B and C are at the bottom.
- Side lengths are labeled: AB = 3, AC = 4, BC = 5.
- Line segment AD is drawn from vertex A to side BC. It is marked as the angle bisector of ∠BAC by two small arcs inside the angle at A, dividing it into two equal angles. The angles ∠BAD and ∠CAD are also labeled as 45°.
- Line segment DE is drawn from point D on BC to side AC, meeting AC at point E.
- A right angle symbol is marked at E, indicating DE ⊥ AC.
- There is a curved arc connecting points B and C, labeled with 5.
- There are text labels "例2题图" and "例3题图" below the triangle, indicating it is the diagram for Example 3.
- The number 23 is shown in a cloud shape at the bottom right.