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A right triangle is insribed in a circle of radius 3 the length of the hypotenus of the right triangle is?
Km88
Pythagoras! Two sides of the triangle must each be equal to the radius, ie 3 so Hypotenuse = sqrt(3^2 + 3^2) =sqrt 18 = 4.243
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What is the length of side x in the 45 45 90 triangle?
Use the hypotenus theorem. the side opposite the right angle squared is equal to each of the other 2 sides squared and then added together
What kind of triangle has two sides of equal length?
An isosceles triangle is a triangle that has two sides of equal length.
What is the formula to find area of a shape?
Depends on what shape you're looking to find the area of.Area of a rectangle = Length x Width x Height(same for parallelogram)Area of a triangle = 1/2 Base x Height or S^2 times root four divided by threeCircumference of a circle = 22/7 (of 3.14) x the diameter of the circle. A Square or Rectangle: Multiply the length of the rectangle by the width of the rectangle or the opposite. A Triangle: Multiply the the Base length (from the bottom of triangle to the tip on top) by the Width of the triangle. Then, divide your results in half. A Circle: Multiply the radius by radius by 3.14 (pi) to find answer.
What is a isoceles triangle?
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Dilating a triangle changes the angles and side length of the triangle?
False
Why value of sin theata is in between 1 and -1?
2
What are the ratios of the longer leg of a 30-60- 90 triangle to the length of its hypotenus?
Short leg = x Long leg = x times the square root of 3 Hypotenuse = 2x
What is the length of side x in the 45 45 90 triangle?
Use the hypotenus theorem. the side opposite the right angle squared is equal to each of the other 2 sides squared and then added together
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.
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
Is it true or false that the radius of the circle inscribed an equilateral triangle equals one-half the length of the length of the triangles median?
This is true. The answer is obvious if you think about it the following way: an equilateral triangle has three equal sides, and every point on the circumference of a circle is the same distance from the center of the circle. Therefore, it is safe to assume that the circle will touch the midpoint of each side of the triangle. It also means that the center of the circle will be in the center of the triangle. Therefore, the radius of the circle will travel from the center of the triangle to the midpoint of one of the sides. This will cover the distance of half the triangle's median.
How do you calculate hypotenus length of right triangle?
You use the information you're given, combined with all of the equations, formulas,and relationships you know concerning the parts of a right triangle, to find the itemof information that you don't know yet. So the process you follow depends on theinformation you're given.For example, if you're given the lengths of the two legs of the triangle, and you'retold that the triangle is a right triangle, then you use the Pythagorean equationC2 = A2 + B2to find the length of the hypotenuse.
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.
A right triangle has a hypotenus eof the length 39 and a leg of length 15 What is is the leangth of the other leg?
With a right triangle you can use the Pythagorean formula. a^2 + b^2 = c^2 We will call the hypotenuse c and the leg a 15^2 + b^2 = 39^2 ( rearrange ) b = sqrt of 39^2 - 15^2 = 36
How do you find a centre of circle when we have a right triangle and a circle We need to find the centre of circle. Can someone please help me?
If the sides of the triangle are equal in length to the radius of the circle, then you can simply place the two ends of the hypotenuse on the perimeter of the circle, and it's remaining corner will lie at the circle's center.
How do you measure the area of a circle and why does it work?
The area of a circle is equal to that of a triangle whose base has the length of the circle's circumference (distance around the circle) and whose height equals the circle's radius which comes to Pi multiplied by the radius squared. Area of Triangle 1/2 *base*height
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.
