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What relationship does the hypotenuse have with the circle?
The hypotenuse has no intrinsic relationship to the circle. The hypotenuse is the side of a right triangle that is opposite to the right angle. You can draw a circle that has a hypotenuse as its diameter or its radius, but you can do that with any line segment. It would not be related in another way to the triangle.
If a square has an area of 225cm how would you calculate the radius of the largest circle that could fit inside the square?
If there is a square field fit in a circle,then the middle point of the hypotenuse of the square is the the centre point of the circle. So,the half of hypotenuse is the radius of the circle. So Hypotenuse of square = √{(5)²+(5)²} cm ==5√2 cm So, the radius of the circle = (5√2 )/2 =5/√2 cm.
What is the length of the hypotenuse of a right triangle that has a base of 5 inches and a height 12 inches?
Hypotenuse^2 = base^2 + height^2, substitute the given values Hypotenuse^2 = 5^2 + 12^2 Hypotenuse^2 = 25 + 144 Hypotenuse^2 = 169 Hypotenuse = √169 Hypotenuse = 13 Thus, the hypotenuse is 13 inches.
What is a hypotenuse angle?
A hypotenuse is the long side of a right triange.
What is the hypotenuse leg theorem?
If two right triangles have (hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other) then the triangles are congruent.
What relationship does the hypotenuse have with the circle?
The hypotenuse has no intrinsic relationship to the circle. The hypotenuse is the side of a right triangle that is opposite to the right angle. You can draw a circle that has a hypotenuse as its diameter or its radius, but you can do that with any line segment. It would not be related in another way to the triangle.
How do you show that from the right angle vertex to the midpoint of the hypotenuse is half the length of the hypotenouse?
All right triangles inscribed in a circle have their vertices on the circle and the hypotenuse as the circle's diameter. Thus the midpoint of the hypotenuse is the center of the circle nd all points on the circle are eqully as far from the center even so the vertex of the right angle.
Prove that the the line segment joining the midpoint of the hypotenuse of a right triangle to the vertex of the right angle is equal to half the hypotenuse?
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
What is the hypotenuse of pi r squared?
The hypotenuse is the longest side of a right angle triangle The area of a circle is pi*radius2
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
Why sine ratio is the ratio of opposite side and hypotenuse?
Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.
How do you find the circumference of a circle if only the perimeter is given?
The perimeter of a circle is the circumference. If you mean the circle is drawn around (and touches the 4 corners of) a square, and you know the perimeter of the square, you divide the square's perimeter by 4, do pythagorean's theorem on the 2 sides (legs) to find the hypotenuse, and that hypotenuse will be the diameter of the circle. You then multiply that diameter you get by pi to get the circumference.
How do you find the length of the legs of a right triangle or the coordinate when you are given the coordinates of the hypotenuse on a graph?
You cannot. If you draw a circle with the given hypotenuse as the diameter then the right angle of the triangle can be at ANY point on the circumfeence of the circle. Therefore, the lengths of the two legs are indeterminate.
When a circle is drawn through each vertex of a right triangle the triangle's hypotenuse will be equal to?
Its diameter.
What if the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse?
Always true. To see this draw the circle which passes through the three points of the triangle. Reproduce the reflection of the triangle on the hypotenuse (which passes through the centre). Then use the theorem of intersecting chords of a circle to give the result immediately. It's also simply proved by algebra.
Could there be a prefect circle existing in the universe?
Yes. Conservation of energy would produce a Pythagorean force triangle which defines a circle, with the Hypotenuse as the diameter.
What is the radius of a circle that has a right angle triangle located on its entire diameter with legs of 6 and 8 cm?
The diameter of the circle will also be the triangle's hypotenuse so use Pythagoras theorem to find the hypotenuse's length and half the length which will result as a radius of 5 cm.
