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What is the radius of the inscribed circle if the base of an isosceles triangle is 16 inches and the altitude is 15 inches?
Wiki User
∙ 15y ago
In order to find the radius of the inscribed circle we have to find the other side'lenght. We will use the property of the right triangle: c^2=a^2+b^2. In our case a = 8 (half of 16 since in this case the altitude is also a median) and b=15 ( the altitude). Using this formula we find that c^2=289 or c=sqrt(289) or c=17. Now that we know all the sides of the triangle we are going to use the following formula r=sqrt[(s-a)(s-b)(s-c)\s] where "r" is the radius of the inscribed circle and "s" is the semiperimeter of the triangle or s=a+b+c\2=16+17+17\2=50\2=25. Now substituting in the formula r=sqrt[(s-a)(s-b)(s-c)\s] we get r=sqrt[(25-17)(25-17)(25-16)\25]=sqrt[8.8.9\25]=sqrt[576\25]=24\5=4,8 . And so we have found the radius of the inscribed circle: r=4,8
Wiki User
∙ 15y ago
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Can a circle be inscribed in any isosceles trapezoid?
no
Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
What is the center of a circle inscribed in a triangle?
the answer is circumcenter
Center of circle inscribed in a triangle?
The answer is circumcenter
Can an equilateral triangle be inscribed in a circle?
Yes and perfectly
Can a circle be inscribed in any isosceles trapezoid?
no
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
Can an isosceles trapezoid be inscribed in a circle?
Yes, always.
If a circle is inscribed in a triangle the center of the circle is called the what of the triangle?
The circumcenter of the triangle.
What is incenter of triangle?
It is the center of the circle that is inscribed in the triangle.
An isosceles right triangle is inscribed in a circle Find the radius of the circle if one leg of the triangle is 8 cm?
First you half all the sides, so 4cm, them you multiply by pi, giving the radius as 12pi, or 12.56637061
Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
What is the blank of a triangle is the center of the circle inscribed in the triangle?
incenter
Is an isosceles trapezoid always inscribed in a circle?
If you want to, you can always draw a circle around an isosceles trapezoid and the radius can be half the base of the trapezoid.
What is the circle that touches all three sides of the triangle called?
An inscribed circle.
What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
What is the center of a circle inscribed in a triangle?
the answer is circumcenter
