# Perimeter and Area of Triangle - Page 5

Questions

- Two corners of an isosceles triangle are at #(7 ,9 )# and #(5 ,3 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
- A triangle has two corners with angles of # pi / 6 # and # (3 pi )/ 8 #. If one side of the triangle has a length of #2 #, what is the largest possible area of the triangle?
- An equilateral triangle has sides of 20. What are the lengths of another equilateral triangle with half the area?
- Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 4 #. If one side of the triangle has a length of # 8 #, what is the longest possible perimeter of the triangle?
- Two corners of an isosceles triangle are at #(2 ,6 )# and #(4 ,8 )#. If the triangle's area is #48 #, what are the lengths of the triangle's sides?
- Two corners of a triangle have angles of # (2 pi )/ 3 # and # ( pi ) / 6 #. If one side of the triangle has a length of # 17 #, what is the longest possible perimeter of the triangle?
- The length of a rectangle is three times the width. What is the width of the area is 147 square feet?
- A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #4 #, what is the largest possible area of the triangle?
- A triangle has two corners with angles of # (3 pi ) / 4 # and # ( pi )/ 8 #. If one side of the triangle has a length of #7 #, what is the largest possible area of the triangle?
- Two corners of a triangle have angles of # (3 pi )/ 8 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 14 #, what is the longest possible perimeter of the triangle?
- An equilateral triangle has side length 6. If a horizontal line is placed in the figure such that the triangle is split into two sections of equal area, how high must the line be?
- Two corners of a triangle have angles of #pi / 3 # and # pi / 6 #. If one side of the triangle has a length of #4 #, what is the longest possible perimeter of the triangle?
- Two corners of a triangle have angles of #pi / 8 # and # pi / 4 #. If one side of the triangle has a length of #4 #, what is the longest possible perimeter of the triangle?
- A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches? Compute the volume of the triangular pyramid if the height is 14 inches. 2520 in3 420 in3 1260 in3 252 in3
- Two corners of a triangle have angles of # (5 pi )/ 12 # and # (3 pi ) / 8 #. If one side of the triangle has a length of # 1 #, what is the longest possible perimeter of the triangle?
- The base of a triangle is #6# inches and the height of the triangle is #4 1/4# inches. What is the area of the triangle?
- Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 2 #. If one side of the triangle has a length of # 5 #, what is the longest possible perimeter of the triangle?
- What is the measure of the base of a triangle that has a height of 8 centimeters and an area of 24 square centimeters?
- What is the area of a triangle whose vertices are GC-1, 2), H(5, 2), and K(8, 3)?
- How would you find the area of an equilateral triangle using the Pythagorean Theorem?