<p>In the diagram, the two circles touch each other internally at \(C\) and \(CD\) is the common tangent. \(AD\) and \(BD\) are tangents to the larger and smaller circles, respectively. 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 \(BCD\) and \(ACD\) are isosceles triangles, and</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">triangle \(ABD\) is an isosceles triangle.</div></li></ol>

In the diagram, the two circles touch each other internally at \(C\) and \(CD\) is the common tangent. \(AD\) and \(BD\) are tangents to the larger and smaller circles, respectively. Prove that

triangles \(BCD\) and \(ACD\) are isosceles triangles, and

triangle \(ABD\) is an isosceles triangle.

Polygons - Properties of Special Triangles

Polygons - Properties of Special Triangles

Video Solution:

Solution:

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