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Problem Solving Involving Triangles

Jerry wanted to paint a triangle that could fit the rectangular side of his room. If the ideal height of the triangle is 6 feet and the base of the side of the room is 4 feet, how much paint should he buy if each square foot requires 15 ml of paint?



Consider the triangle below with a right angle at H. What side is adjacent to HGI?


What is the area of a triangular board whose base and height is 11 x 15 inches respectively? 



What is the area of the shaded region? 


Consider the triangle below with a right angle at H. What side is opposite to HGI?


Consider the triangle below with a right angle at H. What side is opposite to GIH?


The height of a triangle is 6 inches less than twice the length of the base. The area of the triangle is 70 square inches. Find the height of the triangle.



What is the height of a triangle whose area is 36 and base 12 centimeters?



Consider the triangle below with a right angle at H. What side is adjacent to GIH?


Consider the triangle below with a right angle at H. What side is the hypotenuse?