Two Tangents from One Point

Using Tangents to Circumscribe a Circle

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Related Pages: Chord | Tangent |Arc of A Circle | Intersecting Chords |Tangent and a Chord | images

: Circles Worksheets and Activities for Math Teachers

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Example 1 Tangents EG and GT are congruent

EG=10, EH=10. Find the following GT 2. HT 3. Perimeter of quadrilateral EGTH. Answer GT=EG=10 HT=HE=10 Perimeter of quadrilateral =10+10+10+10=40

What kind of quadrilateral is EGHT?

Answer

Since all four sides are congruent, it is a rhombus.

In the picture on the left, three tangents circumscribe a circle. Calculate the following lengths: 1) YC    2) BZ    3) AX 4)The perimeter of triangle ABC Answer YC =ZC=21 BZ= XB=19 AX = AY=20 Perimeter = AX + AY +BZ+XB +YC +ZC =20+20+19+19+21+21= 120