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Is it true that the sum of the two equal sides of an isosceles triangle is equal to the square root of the remaining side?
Wiki User
∙ 14y ago
In general, no it is not true. Let's think this through algebraically, draw an isosceles triangle such that the remaining side is vertical, and label the equal sides x, what you propose is that the sum of the equal sides equals the square root of the remaining side. Therefore the square root of the remaining side is 2x, making the remaining side a length of 4x2.
Now, let's bisect the isosceles into two right angle triangles so that the hypotenuse is of length x, and the vertical side is of length 2x2. Label the horizontal side whose length we don't know, y. Using basic trig we get that y2=x2-4x4 and since y can not be negative, your proposition fails for all cases where x is 0.5 or greater.
In other words, the two equal sides can only equal the square root of the remaining side when the length of one of the equal sides is between 0 and 0.5, and even then you need the right angle to be formed between the equal sides to make the other side long enough. For example, if x is 0.49999999999999 you will need an angle just slightly less than 180 degrees. If x is 0.0000000000001 you will need an angle just slightly above 0 degrees. For an angle of 90 degrees x will need to be approximately 0.35355339
Wiki User
∙ 14y ago
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What sort of triangle has 2 equal sides and 2 equal angles?
An isosceles triangle has 2 equal sides and 2 equal angles.
Does an isosceles triangle have a right angle?
An isosceles triangle has two equal sides and two equal angles. A right triangle is any triangle with one angle that is a right angle. A right triangle could also be an isosceles triangle, but an isosceles triangle will not always have a right angle.
How many equal angles dose an isosceles triangle have?
A isosceles triangle can have two equal angles, but an equilateral triangle is actually a special isosceles triangle, so it could also have 3.
Is a scalene always isosceles?
No. A scalene triangle is never isosceles. An isosceles triangle has two equal sides. A scalene triangle has none.
A triangle with at least two equal sides?
That is an isosceles All equal sides is called an equilateral triangle 2 equal sides is an isosceles No equal sides is a scalene triangle
What does triangle equals two Times Square plus five equal?
A triangle that has 2 equal sides is an isosceles triangle
What is the 4 mistakes of this phrase The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side?
The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 1. squares, not square roots 2. right triangle, not isosceles 3. sides opposite the hypotenuse, not any two 4. What are the mistakes, not what is
If it is an equilateral triangle it is isosceles?
An equilateral triangle is a triangle with three equal sides. An isosceles triangle is one with two equal sides. So yes, an equilateral triangle qualifies as being an isosceles triangle as well. This is quite similar to the relationship between squares and rectangles, where a square is always a rectangle, but a rectangle isn't necessarily a square.
An isosceles triangle is a triangle that?
An isosceles triangle has 2 equal sides and 2 equal angles.
What is is an isosceles triangle?
An isosceles triangle is any triangle with at least two sides of equal length. Logically, an isosceles triangle also has at least two angles of equal size. An equilateral triangle is a triangle with three equal sides and three equal angles (all of which are 60 degrees). Since it has at least two equal sides then it is therefore also an isosceles triangle. This is no different to the way in which a square is also a rectangle, or a circle is also an ellipse. They are simply special cases of the general case.
What is the difference between a triangle and an isosceles triangle?
An isosceles triangle has to have two sides of equal length. An isosceles triangle has to have two sides of equal length.
What are 2 properties of an isosceles triangle?
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
What is a isosceles triangle?
An isosceles triangle is a triangle that has at least 2 sides that are congruent.More simply put, an isosceles triangle has two sides of equal length (and therefore two equal angles opposite those equal sides)
How many equal angles does an isosceles triangle have?
Isosceles triangle have two equal angles2
Does an isosceles triangle have any equal sides?
An isosceles triangle has two equal sides.
Ans isosceles triangle is a triangle that has?
An isosceles triangle is a triangle that has two equal sides.
What does a a right isosceles triangle look like?
It is an isosceles triangle with a right angle between the sides of equal length. Also the equal angles are 45o. * * * * * Take a square, draw one of its diagonals. The shape that is on one side of that diagonal is a right isosceles triangle.
