Question

draw any equilateral triangle. draw incircle and circumcircle of it what did you observe while doing this activity?
1)while drawing incircle and circumcircle do the angle bisector coincircle with each other
2)do the incircle and circumcircle coincide with each other? If so what can be the reason of it?
3)measure the radii of incircle and circumcircle and write their ratio

Plz answer the question fast
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Answer 1

1. Yes, the angle bisectors coincide with each other.

2. No, the incircle and circumcircle do not coincide with each other. Because incircle has a smaller radius than circumcircle.

3. The ratio of radii of incircle and circumcircle will be 1:2

Step-by-step explanation:

1. Consider an equilateral triangle with side 'a'.

2. Construct angular bisectors from all the 3 vertices. From the point of intersection of the angular bisectors draw a incircle (radius of circle being the distance between the vertex and a point on the side of the equilateral triangle).

3. Construct perpendicular bisectors to any two sides. From the point of intersection of perpendicular bisectors, draw a circumcircle touching all the three vertices of the triangle.

4. To find the ratio of radius of incircle and circumcircle:

Measure the radii of incircle ($\text{r}_1$) and circumcircle ($\text{r}_2$) using a scale. Divide the radii $\text{r}_1$ and $\text{r}_2$.

$\frac{\text{r}_1}{\text{r}_2} =\frac{1}{2}$

$\text{r}_1 : \text{r}_2 = 1 : 2$

For more details, refer

1. If the radius of a circumcircle of an equilateral triangle is 6 cm ,then find the radius of its incircle.

https://brainly.in/question/6630060

2. Construct incircle and circumcircle of an equilateral triangle DSP with side 7.5 cm. Measure the radii of both the circle s and fint the ratio of radius of circumcircle to the radius of incircle

https://brainly.in/question/7119697