0
It a right triangle is inscribed in a circle the the what is a diameter of the circle?
Wiki User
∙ 9y ago
The diameter is the distance across the centre of the circle.
Wiki User
∙ 9y ago
Add your answer:
Earn +20 pts
When a triangle with one side length the diameter of a circle is inscribed in that circle does it have to be a right triangle?
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
What theorem did Thales gave to geometry?
The theorem where a triangle inscribed in a circle is right if and only if one of the legs is a diameter.
Any inscribed in a semicircle is a?
All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
When a circle is drawn through each vertex of a right triangle the triangles hypotenuse will be equal to what?
The length of the circle's diameter
What is true about the diameter of a circle?
It is 1/pi times the circumference. A triangle with the diameter as its hypotenuse and the third point anywhere on the circle is always a right-angled triangle. A quadrilateral with all four corners on a circle is a cyclic quadrilateral. If one of its diagonals is a diameter of the circle, it has two right angles.
When a right triangle is inscribed in a circle will one of the legs of the triangle always be the diameter of a circle?
yes. the leg of the triangle has to be formed different because of the circle
When a triangle with one side length the diameter of a circle is inscribed in that circle does it have to be a right triangle?
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
What theorem did Thales gave to geometry?
The theorem where a triangle inscribed in a circle is right if and only if one of the legs is a diameter.
What is angle of inscribed in semi circle?
A right angle triangle can fit into a semi-circle
Any inscribed in a semicircle is a?
All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
When a circle is drawn through each vertex of a right triangle the triangles hypotenuse will be equal to what?
The length of the circle's diameter
What is true about the diameter of a circle?
It is 1/pi times the circumference. A triangle with the diameter as its hypotenuse and the third point anywhere on the circle is always a right-angled triangle. A quadrilateral with all four corners on a circle is a cyclic quadrilateral. If one of its diagonals is a diameter of the circle, it has two right angles.
When a circle is drawn through each vertex of a right triangle the triangle's hypotenuse will be equal to?
Its diameter.
How would you construct a right triangle given the length of a leg and the radius of the circumscribed circle?
To construct a right triangle given the radius of the circumscribed circle and the length of a leg, begin with two ideas. First, the diameter of the circle is equal to twice the radius. That's pretty easy. Second, the diameter of the circle is the length of the hypotenuse. The latter is a key to construction. Draw your circle, and draw in a diameter, which is the hypotenuse of the right triangle, as was stated. Now set you compass for the length of the leg of the triangle. With this set, place the point of the compass on one end of the diameter (the hypotenuse of your triangle), and draw an arc through the circumference of the circle. The point on the curve of the circle where the arc intersects it will be a vertex of your right triangle. All that remains is to add the two legs or sides of the triangle. Draw in line segments from each end of the hypotenuse (that diameter) to the point where your arc intersected the curve of the circle. You've constructed your right triangle. Note that any pair of lines that is drawn from the ends of the diameter of a circle to a point on the curve of the circle will create a right triangle.
What is a triangle in a circle that is formed by two chords and a diameter?
If a triangle is drawn in a circle with a diameter as the base of the triangle, then the angle opposite that diameter is a right angle. This is an extension of the theorem that the angle which an arc of a circle subtends at the centre of a circle is twice the angle which the arc subtends at the circumference. In the case of a diameter, then the angle subtended at the centre is 180° and thus the angle at the circumference is 90°.
Is a parallelogram inscribed in a circle always a rectangle?
Yes. The corners must be right angles for it to be inscribed on the circle.
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
