Theorem: Two segements tangent to a circle from a point outside the circle are congruent.
In the picture on the right, tangents EG and GT are congruent.
EG=10, EH=10. Find the following
1. GT 2. HT
3. Perimeter of quadrilateral EGTH.
| Answer |
GT=EG=10
HT=HE=10
quadrilateral EGTH =10+10+10+10=40
What kind of quadrilateral is EGHT?
| Answer |
Since all four sides are congruent, EGHT is a rhombus
In the picture on the right, 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