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Isosceles Triangle Inscribed Circle Perimeter Quiz
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Isosceles Triangle Inscribed Circle Perimeter Quiz

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Questions and Answers

What is the perimeter of the triangle?

The perimeter of the triangle is 14 cm.

What is the area of the regular triangle?

The area of the isosceles triangle is 6 square centimeters.

What is the formula for the area of an inscribed circle in a regular triangle?

The formula for the area of an inscribed circle in a regular triangle is $A = \pi r^2$, where $r$ is the radius of the inscribed circle.

What is the relationship between the radius of an inscribed circle and the side length of the regular triangle?

<p>The radius of an inscribed circle in a regular triangle is equal to the product of the side length of the triangle and the inradius (apothem) factor, which is $\frac{\sqrt{3}},{6}$.</p> Signup and view all the answers

Calculate the side length of the regular triangle given the area of the inscribed circle is 12.56.

<p>The side length of the regular triangle can be calculated using the formula $s = \frac{2A},{P}$, where $A$ is the area of the inscribed circle and $P$ is the perimeter of the triangle. In this case, the side length is $s = \frac{2 \times 12.56},{\pi \times \frac{s},{\sqrt{3}}}$.</p> Signup and view all the answers

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