Find the area of the largest isosceles triangle that can be inscribed in a semicircle
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Step-by-step explanation:
The triangle is the largest when the perpendicular height shown in grey is the same size as r. This is when the triangle will have the maximum area. The formula ½× b × h is the area of a triangle, and in this case, the base is double the radius or 2r.
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Hence, Area of circle will be = π(radius)² = π(r/2)² = ( πr²/4) units²
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