Similarity Right Triangles and Trigonometry (Upload)

Draw a triangle with the coordinates \( \left( -2,-1 \right) , \left( -3,5 \right) , \left( -4,2 \right) \).

Given the coordinates for a rectangle (4, 8), (4, -2), (-1, -2), (-1, 8), find the length of each side of the rectangle.

The dimensions for a soccer field are 45 meters by 90 meters. One corner of a soccer field on the coordinate plane is -45,-30. What could a second coordinate be?

A trapezoid has a height of 3 centimeters and bases of 8 centimeters and 10 centimeters.

Find the area in square centimeters.

A regular decagon has a side length of 12 inches and an apothem of 6 inches.

Find the area in square inches.

A picture frame is in the shape of a right triangle with legs 9 centimeters and 12 centimeters. 

What is the hypotenuse in centimeters?

Two rectangular rooms need to be carpeted. The dimensions of the first room are 18 feet by 19 feet, and the dimensions of the second room are 12 feet by 10 feet.

What is the total area to be carpeted in square feet?

A cube has a side length of 5 centimeters.

What is the surface area in square centimeters?

A right rectangular prism has dimensions of 4 inches by 5 inches by 6 inches.

What is the surface area in square inches?

A cube has a side length of 5 centimeters.

What is the volume in cubic centimeters?

A right rectangular prism has dimensions of 4 inches by 5 inches by 6 inches.

What is the volume in cubic inches?

A regular hexagon has a side length of 5 inches and an apothem of 2 inches.

Find the area in square inches.  (Note: A = ½ ap).

A wedge of cheese is in the shape of a right triangular prism. The area of the base is 30 square inches.

What is the height in inches of the cheese if the volume is 150 cubic inches?

A stop sign is a regular octagon with an area of 27,000 square centimeters and an apothem of 90 centimeters.

What is the length in centimeters of one side?

A trapezoid has bases of 8 inches and 12 inches and a height of 6 inches.

Find the area in square inches.

A cube has a surface area of 54 square feet.

What is the side length in feet?

Draw a square with the coordinates \(\left( -3, 4 \right) , \left( -3,-2 \right) ,~ \left( 3,-2 \right) , \left( 3,4 \right)\). 

A right triangular prism has a triangular base with legs of 5 centimeters and 12 centimeters and a hypotenuse of 13 centimeters.

What is the surface area in square centimeters if the height is 2 centimeters?

A right triangular prism has a base area of 63 square inches and a height of 10 inches.

What is the volume in cubic inches?

A shoebox in the shape of a right rectangular prism has a surface area of 400 square inches.

What is the length in inches if the other two dimensions are 8 inches and 14 inches?

Three vertices of a rectangle are \(\left( -6,5 \right), \left( -6,0 \right), \left( 12, 5 \right).\)

What is the fourth coordinate?

The combined area of two identical rectangular tarps is 448 square feet.

What is the length in feet of one tarp if the width is 14 feet?

Three vertices of a square are (3,-8), (8,-3),(8, -8). What is the fourth coordinate?

A parallelogram has an area of 105 square inches.

Find the height in inches if the base is 15 inches in length.

Draw a rectangle with the coordinates (5,7),(5,1),(1,1),(1,7).

A yield sign in the shape of a triangle has a base length of 90 centimeters and a height of 80 centimeters.

What is the area in square centimeters?

A right rectangular prism has dimensions of 3 inches by 6 inches by 9 inches.

What is the surface area in square inches?

A right triangle has a base of 6 inches and a hypotenuse of 10 inches.

Find the height in inches of the triangle if the area is 24 square inches.

A park is in the shape of a square with side lengths of 175 yards. One corner of the park is on the coordinate plane as (-50,-50). What could be two coordinates of the square?