Find the dimension of the largest isosceles triangle

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Answered question

2022-09-14

Find the dimension of the largest isosceles triangle that can be inscribed in a circle of radius 8.

Answer & Explanation

Eliza Beth13

Eliza Beth13

Skilled2023-05-31Added 130 answers

To find the dimension of the largest isosceles triangle that can be inscribed in a circle of radius 8, we can make use of the properties of a circle and an isosceles triangle.

In an isosceles triangle, two sides are congruent. Let's assume the length of each congruent side is "x". The base of the triangle, which is the third side, will be "2x" since it has to connect the endpoints of the congruent sides.

Since the triangle is inscribed in a circle of radius 8, we know that the length of each congruent side, "x", will be equal to the radius of the circle.

Thus, in this case, we have "x = 8".

Substituting this value into the expression for the base, we have:

Base = 2x = 2 * 8 = 16

Therefore, the dimension of the largest isosceles triangle that can be inscribed in a circle of radius 8 is a base length of 16.

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