# Perimeter and Area of Triangle

Understanding the concepts of perimeter and area in geometry is fundamental to grasping the properties and measurements of shapes. In particular, the perimeter and area of a triangle serve as foundational principles in geometric calculations and problem-solving. By exploring the relationship between the lengths of the sides and the dimensions of a triangle, we can unlock insights into its overall size and boundary. This introductory exploration sets the stage for a deeper investigation into the mathematical principles governing the perimeter and area of triangles, elucidating their significance in practical and theoretical contexts.

Questions

- Two corners of a triangle have angles of # ( pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 9 #, what is the longest possible perimeter of the triangle?
- Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 8 #. If one side of the triangle has a length of # 2 #, what is the longest possible perimeter of the triangle?
- What is the area of a 45-45-90 triangle, with a hypotenuse of 8mm in length?
- A triangle has two corners with angles of # pi / 4 # and # (5 pi )/ 8 #. If one side of the triangle has a length of #9 #, what is the largest possible area of the triangle?
- Two corners of an isosceles triangle are at #(9 ,6 )# and #(4 ,7 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
- What is the area of an equilateral triangle with a side length of 1?
- A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #6 #, what is the largest possible area of the triangle?
- A triangle has two corners with angles of # pi / 6 # and # (3 pi )/ 8 #. If one side of the triangle has a length of #12 #, what is the largest possible area of the triangle?
- Two corners of an isosceles triangle are at #(9 ,2 )# and #(1 ,7 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
- What is the area of an equilateral triangle inscribed in a circle with a radius of 5 inches?
- A triangle has two corners with angles of # ( pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?
- A square and a equilateral triangle are to be formed out of the same piece of wire. The wire is 6 inches long. What is the maximum of the total area the square and the triangle?
- What is the area of an equilateral triangle with a side of 6?
- What is a function that models the area of an equilateral triangle in terms of the length #x# of ones of its sides?
- How do I find the perimeter of the triangle with the vertices (-2,2), (0,4), (1,-4)?
- Two corners of an isosceles triangle are at #(4 ,8 )# and #(5 ,7 )#. If the triangle's area is #5 #, what are the lengths of the triangle's sides?
- A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #3 #, what is the largest possible area of the triangle?
- The 2 equal sides of an isosceles triangle are 5.7 cm each. The base is 7 cm. What is the height?
- Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?
- Two corners of a triangle have angles of #(5 pi ) / 12 # and # ( pi ) / 8 #. If one side of the triangle has a length of #4 #, what is the longest possible perimeter of the triangle?