Scale factor lab

<p>In rectangle \(ABCD\), \(P\), \(S\) are on the side \(AD\). \(BD\) and \(BP\) divide angle \(ABC\) into \(3\) equal parts, \(CS\) bisects angle \(BCD\) and \(BD\), \(CS\) intersect at \(M\). Prove that</p>
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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">triangles \(ABP\) and \(CBD\) are similar,</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">\(AD = 3AP\),</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">\(AD = \left( 6 + 3\sqrt{3} \right)PS\), and</div></li><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">\(CM = \sqrt{3}MS\).</div></li></ol>

In rectangle \(ABCD\), \(P\), \(S\) are on the side \(AD\). \(BD\) and \(BP\) divide angle \(ABC\) into \(3\) equal parts, \(CS\) bisects angle \(BCD\) and \(BD\), \(CS\) intersect at \(M\). Prove that

Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

Video Solution:

Solution:

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