I need help. I don't understand this problem.
2 answers:
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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
GF² = 441 - 361
GF =
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
Answer:
82.5 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 7.5, b₁ = 7 and b₂ = 15 , then
A = × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²