If g is the circumcenter of triangle ace, find gd

Step-by-step explanation:

we know that

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter (point G)

The circumcenter is equidistant from the vertices of the triangle

so

AG=CG=EG

step 1

Find the value of x

AG=CG

substitute the given values

solve for x

step 2

Find the length side DC

we know that

DC=DE

Because GD is a perpendicular bisector

so

step 3

Find the length side GD

In the right triangle GCD

Applying the Pythagorean Theorem

we have

substitute the values

simplify

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.