Project ID:
7300020127
Accepted:
Type:
Layout:
Question:
Match the triangle with the corresponding length of the radius $r$ of its inscribed circle.
$$\,$$
Hint: The radius $r$ of the circle inscribed in a triangle is expressed by the formula:
$$
r=\frac{P}{s}
$$
where $P$ is the area of the triangle and $s$ is half the perimeter, i.e., $s=\frac12 (a+b+c)$ (see the picture).
The area of a triangle can be found in terms of the lengths of its sides using Heron's formula:
$$
P=\sqrt{s(s-a)(s-b)(s-c) }
$$
Unfolding Image:
Questions Title:
Triangles:
Answers Title:
Radius of circle inscribed in triangle:
Question 1 Image:
Answer 1:
$r=3$
Question 2 Image:
Answer 2:
$r=2$
Question 3 Image:
Answer 3:
$r=2\sqrt3-2$
Question 4 Image:
Answer 4:
$r=\sqrt3$
Answer 5:
$r=\frac32$
Answer 6:
$r=2\sqrt3$