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# Geometry -- Pls answer quick!! --

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1)

Triangle  has circumcenter  If  and  find the circumradius of triangle

2)

Let , and . What is the circumradius of

3)

is an isosceles right triangle where   is the circumcenter of  What is  in degrees?

Guest Nov 10, 2017
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#1
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2)

Since , we know that  is a right triangle with hypotenuse  by the converse of the Pythagorean Theorem. The circumcenter of a right triangle is the midpoint of its hypotenuse, so the circumradius is .

Guest Nov 10, 2017
#2
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1) The circumcenter is where the perpendicular bisectors of  of the sides of the triangle meet

So......the circumradius, R ,  can be found as

cos (30)  = (1/2)AB / R    ⇒  R  = (1/2)AB / cos (30)  =

5 / [√3 / 2 ] =  10 / √3 ≈    5.77 units

CPhill  Nov 11, 2017

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