Two Tangents from One Point
Using Tangents to Circumscribe a Circle
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Example 1
Tangents EG and GT are congruent |
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EG=10, EH=10. Find the following
GT
2. HT
3. Perimeter of quadrilateral EGTH.
GT=EG=10
HT=HE=10
Perimeter of quadrilateral =10+10+10+10=40
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What kind of quadrilateral is EGHT?
Since all four sides are congruent, it is a rhombus.
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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
YC =ZC=21
BZ= XB=19
AX = AY=20
Perimeter = AX + AY +BZ+XB +YC +ZC =20+20+19+19+21+21= 120
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