In a 30-60-90 triangle, the sides are in a consistent ratio: the length of the side opposite the 30-degree angle is half the length of the hypotenuse, while the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the side opposite the 30-degree angle. This means if the shortest side is ( x ), the hypotenuse is ( 2x ) and the longer leg is ( x\sqrt{3} ). The angles in a 30-60-90 triangle always measure 30 degrees, 60 degrees, and 90 degrees. This specific ratio allows for easy calculation of side lengths when one side is known.
In Euclidean geometry, the statements are true: I. The sum of the interior angles of a triangle is always 180 degrees; II. It is indeed possible to construct an equilateral triangle, as it can be done with a compass and straightedge; III. At most, a triangle has three sides, as defined by its geometric properties.
That will depend upon the statements of which none have been given about a right angle triangle.
If the given numbers represent degrees then it is a right angle triangle whos 3 angles add up to 180 degrees.
An equilateral and right triangle are contradictory.
true
In Euclidean geometry, the statements are true: I. The sum of the interior angles of a triangle is always 180 degrees; II. It is indeed possible to construct an equilateral triangle, as it can be done with a compass and straightedge; III. At most, a triangle has three sides, as defined by its geometric properties.
That will depend upon the statements of which none have been given about a right angle triangle.
the sides of ABC are congruent to the sides of A'B'C'
Identities are statements that are true for any number.
If the given numbers represent degrees then it is a right angle triangle whos 3 angles add up to 180 degrees.
What are three statements that are true about Francis Drake?
An equilateral and right triangle are contradictory.
They can be constructed in more than one way. They have fractional dimension. They are self-similar. They are constructed by removing small triangles from a big triangle.
the longer leg is root 3 times as long as the shorter leg, and the hypotenuse is twice as long as the shorter leg.
true
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.
A triangle is equilateral if, and only if, it is equiangular. That is to say, the two statements are equivalent.