Triangle Relationships

Front

Does a triangle with these side lengths exist? 15, 12, 9

Back

Yes, a triangle with these side lengths exists because the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the name of this kind of triangle? (All sides are equal)

Back

Equilateral Triangle: A triangle with all three sides of equal length.

Front

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

Back

45 degrees. The sum of the angles in a triangle is always 180 degrees.

Front

The three altitudes of a triangle intersect at the?

Back

Orthocenter: The point where the three altitudes of a triangle meet.

Front

Find the missing length in a triangle where one side is 12 and the other two sides are 9 and 15.

Back

12: The triangle inequality theorem confirms that these lengths can form a triangle.

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees: The sum of the angles inside any triangle is always 180 degrees.

Front

What is a right triangle?

Back

Right Triangle: A triangle that has one angle measuring 90 degrees.

Front

What is an isosceles triangle?

Back

Isosceles Triangle: A triangle with at least two sides of equal length.

Front

What is a scalene triangle?

Back

Scalene Triangle: A triangle with all sides of different lengths.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).