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Fudgin [204]
3 years ago
14

In right triangle abc shown below, altitude cd is drawn to hypotenuse (ab). explain why δabc ∼ δacd.

Mathematics
1 answer:
Komok [63]3 years ago
4 0
<span>First prove that ∆CBD ~ ∆ABC. 
 Each triangle has a right triangle and each includes angle </span>B.  <span> The triangles are similar. 
 You can use similar reasoning to show that </span><span>∆ACD ~ ∆ABC. 
 To show that ∆CBD ~ ∆ACD, begin by showing that  angle</span>ACD = angle B because they are both complementary to angle<span>DCB.  Then you can use Similarity Postulates.
 </span>I found the image of the triangle that was missing the question! Attached triangle.

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