Question

A semicircle is drawn next to the base of an isosceles triangle such that its diameter is perpendicular to the triangle's

Answer 1

The total area of the semicircle and triangle is 30 + 4.5π .

The diameter of the semicircle is perpendicular to the base of the triangle.

Given diameter length = 6 cm

radius = 6 /2 = 3cm

Area of the semicircle = 1/2 πr² = 1/2π3² = 4.5π

height of the triangle = 10 cm

Area of the triangle = 1/2 × 6 × 10 =30cm

Total area of the figure = 30 + 4.5π

hence the total area of the resulting figure is 30 + 4.5π

A semicircle with one locus of points is referred to as a half-circle in mathematics, more specifically geometry. A semicircle's complete arc is always equal to 180 degrees, radians, or a half-turn.

It only contains one reflectional symmetry line. A half-disk, a twofold geometric entity that includes both the circumferential segment from one end of the arc towards the other and all the inner points, is typically referred to as a "semicircle" in non-technical language.

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A semicircle is drawn next to the base of an isosceles triangle such that its diameter of 6 cm is perpendicular to the triangle's altitude of 10 cm

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