Geometry The diagonals of a parallelogram are 14 meters and 16 meters and inter-sect at an angle of 60 degree. Find the length of the longer side.

Use the Pythagorean Theorem to find the length of the leg in the figure.

An airplane flies from Naples, Italy, in a straight line to Rome, Italy, which is 120 kilometers north and 150 kilometers west of Naples. How far does the plane fly?

The perimeter of an equilateral triangle is 145 feet. Find the length of each side.

Gina is standing near a building and notices that the angle of elevation to the top of the building is 68. She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only 51. Find the height of the building. a. 2511 b. 56ft c. 149ft d. l80ft

ABC is similar to XYZ The lengths of two sides of each triangle are given in the figure. Find the length of side a.

On the map, Seattle. Portland, and Boise form a triangle whose sides are shown in the figure below. If the actual distance from Seattle to Boise is 400 miles, find the distance from Seattle to Portland.

Akbar room-shaped beam with a length : width : height = 5 : 5 : 4. A lamp shines brightly from the room's ceiling, right in the center of the ceiling field. The switch was installed on the wrong wall of the room, right in the middle of the wall. The distance between the lamp and the switch is ...

The architect designing a building decides that it would be best for the roof to have an asymmetrical shape. The architect decides to construct asymmetrical triangular roof trusses. The bottom of the truss (i.e., triangle) is the longest side and has length 22 feet. The other two parts of the truss have length 18 feet and 12 feet. Find the angle opposite of the longest side of this triangular truss design. Write your answer in degrees.

The triangular region shown below is bordered by one vertical line, one horizontal line, and one slanted line. State the equation of each line and determine the triangle's area. Vertical Line: Horizontal Line: Slanted Line: Area: 44