Triangles

Front

Does the sides 1, 1, 2 make a triangle?

Back

No, the sum of the lengths of the two shorter sides (1 + 1) is not greater than the length of the longest side (2). This violates the triangle inequality theorem.

Front

What is the triangle inequality theorem?

Back

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Does the sides 8, 9, 10 make a triangle?

Back

Yes, the sum of the lengths of the two shorter sides (8 + 9) is greater than the length of the longest side (10), satisfying the triangle inequality theorem.

Front

Solve for x: 2x + 3 = 5

Back

x = 1

Front

Find the value of x: 3x - 4 = 5

Back

x = 3

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

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

Back

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

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.