0
Add your answer:
Earn +20 pts
It a right triangle is inscribed in a circle the the what is a diameter of the circle?
The diameter is the distance across the centre of the circle.
When a circle is drawn through each vertex of a right triangle the triangle's hypotenuse will be equal to?
Its diameter.
What size eqiulateral triangle fits into a circle with a diameter of 5.5 inches?
A triangle with sides of 4.76 inches or less.
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
How do you draw an isoscles right angled triangle?
An isosceles triangle is usually drawn with the two sides of equal length as the legs and the third side as the base. For a right angled isosceles triangle then the hypotenuse is drawn as the base with the two sides of equal length as the legs joining together at a right angle. Draw a circle. Draw a horizontal diameter with a second diameter perpendicular to the first. The hypotenuse is the horizontal diameter. Draw lines from the ends of this diameter to the point where one end of the second diameter meets the circumference. These are the two equal legs of the isosceles triangle. These legs meet at an angle of 90° .
What is the diameter of a circle with a triangle in it?
It could be anything. Just because it has a triangle in it doesn't in any way determine its diameter.
What is the perimeter of a triangle which a diameter of 8 inches?
Triangles don't have a diameter. They have a base and a height.
It a right triangle is inscribed in a circle the the what is a diameter of the circle?
The diameter is the distance across the centre of the circle.
When a circle is drawn through each vertex of a right triangle the triangle's hypotenuse will be equal to?
Its diameter.
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°.
What size eqiulateral triangle fits into a circle with a diameter of 5.5 inches?
A triangle with sides of 4.76 inches or less.
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 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 the area of a Reuleaux triangle that has a diameter of 4.5 in?
It is 1.2336 square inches, approx.
How do you draw an isoscles right angled triangle?
An isosceles triangle is usually drawn with the two sides of equal length as the legs and the third side as the base. For a right angled isosceles triangle then the hypotenuse is drawn as the base with the two sides of equal length as the legs joining together at a right angle. Draw a circle. Draw a horizontal diameter with a second diameter perpendicular to the first. The hypotenuse is the horizontal diameter. Draw lines from the ends of this diameter to the point where one end of the second diameter meets the circumference. These are the two equal legs of the isosceles triangle. These legs meet at an angle of 90° .
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.
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.
