JIPMAT 2024 (QA) - An equilateral triangle ABC is inscribed in a circle of radius 20 sqrt(3) ~cm. What is the length of the side of the triangle ? | PYQs + Solutions | AfterBoards
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JIPMAT 2024

Geometry
>
Triangles

Easy

An equilateral triangle ABC\mathrm{ABC} is inscribed in a circle of radius 203 cm20 \sqrt{3} \mathrm{~cm}. What is the length of the side of the triangle ?

Correct Option: 4
1) For an equilateral triangle inscribed in a circle:\newline - If RR is radius of circumscribed circle\newline - Then side length a=R3a = R\sqrt{3}
2) Given:\newline - R=203R = 20\sqrt{3} cm
3) Therefore:\newline - Side length = 203×320\sqrt{3} × \sqrt{3}\newline - =20×3= 20 × 3\newline - =60= 60 cm
Therefore, the side length of the equilateral triangle is 6060 cm.

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ABC is right angled triangle at C. Let BC = a, CA = b and AB = c and let p be the length of perpendicular from C on AB, then cp is equal to

JIPMAT 2022

Given below are two statements:
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In the light of the above statement, choose the correct answer form the question below.

JIPMAT 2024

An equilateral triangle ABCA B C is inscribed in a circle of radius 203 cm20 \sqrt{3} \mathrm{~cm}. The centroid of the triangle ABCA B C is at a distance dd from the vertex AA. then dd is equal to ?

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