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Write an argument to show that an equilateral triangle cannot have a right?
Wiki User
∙ 15y ago
An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60
Wiki User
∙ 15y ago
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Triangle with 2 lines of symmetry?
A triangle with two lines of symmetry does not exist. It can have one line of symmetry (an isosceles triangle) or three (an equilateral triangle), but not two.
Write a statement that must be true about an equilateral triangle and an isosceles triangle?
An equilateral triangle is also isosceles.Improved Answer:-They are both triangles whose 3 interior angles add up to 180 degrees and an equilateral triangle has 3 equal angles with 3 equal sides whereas an isosceles triangle has 2 equal angles with 2 equal sides
The side length of an equilateral triangle is x plus 3 write an expression for the perimeter of a triangle?
In an equilateral triangle, all 3 sides are the same length, so your equation would look something like this: P=the perimeter of the triangle (x+3)=length of each side P=3(x+3) If you wanted to simplify further, you would distribute the 3 to both the x and the 3 inside of the parentheses, giving you P=3x+9.
Write a Java program to determine whether the triangle is equilateral triangle?
import java.util.*; public class triangle { public static Scanner vic= new Scanner(System.in); public static void main(String[]args){ System.out.println("Enter measurement of adjacent: "); int adj = vic.nextInt(); System.out.println("Enter measurement of opposite: "); int opp = vic.nextInt(); System.out.println("Enter measurement of hypoteneuse: "); int hyp = vic.nextInt(); if(( adj < opp )&&(opp<hyp)){ System.out.println("Right triangle"); System.out.println("Regular triangle"); } else if (( adj<opp )&&( opp > hyp)){ System.out.println("Isosceles triangle"); } else if (( adj == opp)&&(adj==hyp)&&(hyp==opp)){ System.out.println("Equilateral triangle"); } else{ System.out.println("Not a triangle"); }} }
Write a general statement concerning the sum of the measures of the angles of a triangle?
The sum of the three interior angles of a triangle always total 180 degrees.
Can a write triangle be equilateral?
No
Triangle with 2 lines of symmetry?
A triangle with two lines of symmetry does not exist. It can have one line of symmetry (an isosceles triangle) or three (an equilateral triangle), but not two.
Write a statement that must be true about an equilateral triangle and an isosceles triangle?
An equilateral triangle is also isosceles.Improved Answer:-They are both triangles whose 3 interior angles add up to 180 degrees and an equilateral triangle has 3 equal angles with 3 equal sides whereas an isosceles triangle has 2 equal angles with 2 equal sides
How do you write an equilateral triangle line of symmetry?
A line joining any vertex to the midpoint of the opposite side. Because of the properties of an equilateral triangle, this line may be described as the median, the perpendicular bisector of a side or an angle bisector.
What do you write when classifying triangles?
there is many ways to write when classifying a triangle, you can classify it by its sides or angles. When you classify it by angles you can classify it by acute, obtuse, and right triangle. when classyfing it by sides its isosceles, equilateral, and scalene!
How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
How does writing help you in law?
If you don't know how to write a coherent argument, you cannot win your cases!
How do you write cassandra in Russian?
Transcribed in Roman letters KASSANDRA; in Cyrillic capitals KACCANDPA. For Cyrillic capital D use an equilateral triangle, apex up.
The side length of an equilateral triangle is x plus 3 write an expression for the perimeter of a triangle?
In an equilateral triangle, all 3 sides are the same length, so your equation would look something like this: P=the perimeter of the triangle (x+3)=length of each side P=3(x+3) If you wanted to simplify further, you would distribute the 3 to both the x and the 3 inside of the parentheses, giving you P=3x+9.
Can you draw a right angled equilateral triangle?
No. That can be proven in this way, accepting the truth of the Pythagorean Theorem, which says that the square of the length of the hypotenuse, c, of a right triangle with orthogonal sides a and b, will always be equal to the sum of the squares of the lengths of sides a and b. If c is the length of side c, and so on, the Pythagorean Theorem stated above becomes this mathematical statement: c2 = a2 + b2 One way to test a hypothesis is to express the assumed case, apply logic steps to it, and examine the truth of the result. So if we assume for argument that our right triangle is equilateral, and assign length xequally to all three sides--a, b, & c--we could write the equation thus: x2 = x2 + x2 which becomes x2 = 2(x2) Factoring out x2, we get 1 = 2 We've arrived at a mathematical contradiction, disproving our assumption. There cannot be right-angled equilateral triangles.
How can you write a sentence using the word argument?
There was an argument between ?? and ??.
