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4 years ago

Use Circle O to for exercises 6-8 (I need the answers for 7 & 8)

Mathematics

1 answer:

never [62]4 years ago

5 0

See the attached picture with letters to better understand the problem

Part 8)
we know that
The angle bisectors of a triangle intersect in a point (incenter) that is equidistant from the three sides of the triangle
so
OF=OD=OE-----> <span>are the radii of the inscribed circle
</span>
the triangle ODB and the triangle OBE are congruent
so

applying the Pythagoras Theorem
OB²=OD²+DB²------> solve for OD
OD²=OB²-DB²------> (√28)²-5²-----> OD²=28-25-----> OD=√3 units

radius is equal to OD
therefore

the answer part 8) is
radius is √3 units

Part 9) What is the value of x?

we know that
in the quadrilateral FOEC <span>the sum of the internal angles must be equal to 360 degrees
</span>so
360=90+90+60+x
x=360-240
x=120°

the answer Part 8) is
x=120°

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3 years ago

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brainly.com/question/14421002

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2 years ago

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