Types of Triangles
What is a triangle with all sides of equal length?
Equilateral Triangle
What is the triangle inequality rule?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
What is the term for angles that are opposite each other when two lines intersect?
Vertical angles
What is the relationship between the angles and sides in a triangle?
The larger the angle, the longer the opposite side.
How can triangles be used in construction?
Triangles provide stability and support in structures like roofs and bridges.
What type of triangle has one angle greater than 90 degrees?
Obtuse triangle
How does the triangle inequality rule apply to the sides of a triangle?
It ensures that the three sides can connect to form a triangle.
What are complementary angles?
Two angles that add up to 90 degrees.
What do you call the longest side of a right triangle?
Hypotenuse
Give an example of a triangular structure in real life.
The Eiffel Tower is an example of a triangular structure.
What do you call a triangle with one angle that measures exactly 90 degrees?
Right triangle
If two sides of a triangle are 5 and 7, what is the range of lengths for the third side?
The third side must be greater than 2 and less than 12 (i.e., and and ).
In a triangle, what do you call the angles that add up to 180 degrees?
Interior angles
If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?
Right triangle
Why are triangles considered stable shapes?
Because they do not change shape when force is applied, unlike other shapes.
What is the sum of the angles in any triangle?
180 degrees
True or False: A triangle with sides 2, 3, and 6 can exist.
False (2 + 3 is not greater than 6).
What is an exterior angle of a triangle?
An angle formed outside the triangle when one side is extended.
What is the area formula for a triangle?
Area =1/2 bh
How does the concept of triangles apply to navigation and mapping?
Triangles are used in triangulation to determine locations on maps.
What is a scalene triangle?
A triangle with all sides of different lengths
Explain why the triangle with sides 3, 4, and 8 cannot exist.
Because 3+4 is not greater than 8.
How do you find an interior angle if you know one exterior angle?
Subtract the exterior angle from 180 degrees.
How can the height of a triangle be found using its area?
Rearrange the area formula: Height = 2×Area/base
What role do triangles play in engineering?
They are used in trusses and frameworks for building and bridges for strength and stability.