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serg [7]
2 years ago
9

Please help on this math question. Will be marked as BRAINLEST!

Mathematics
2 answers:
leonid [27]2 years ago
6 0

Answer:

20

Step-by-step explanation:

25 \times 25 - 15 \times 15 = 400

\sqrt{400}  = 20

emmainna [20.7K]2 years ago
3 0

Answer:

b=√400

=20

Step-by-step explanation:

15^2+b^2=25^2

225 + b^2=625

b^2=625-225

b^2=400

b=√400

b=20

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Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
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Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

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     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

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Step-by-step explanation:

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