The residents of a downtown neighborhood designed a triangular-shaped park as part of a city beautification program. The park is bound by streets on all sides. The second angle of the triangle is 5º more than the first. The third angle is 5º less than twice the first. Find the measures of the angles.

The side lengths of the triangle are 11, 12 and15. Find whether this triangle is an obtuse, right or acute triangle.

A right triangle has a 72° angle. Find the measures of the other two angles. (Enter your answers from smallest to largest.)

... Parks will be built adjacent to two circular retention ponds. Each pond has 5 miles in radius. Each park will be covered with grass in the area depicted in light green in the figure below. What is the area of one of the parks? If all sides of each park need to be fenced (e.g. one straight side and the two circular sides bordering each park), what is the length of the fence needed? Describe how you came to your answers. 5. The area of the park: The length of the fence: Edit View Insert Format Tools Table 12pt v Paragraph v MacBook Air 000 000 DD F3 F4 F5 F8 %23

A tree casts a shadow 14 feet long. A flagpole that is 20 feet tall casts a shadow 8 feet long. The triangle formed by the tree and its shadow is similar to the triangle formed by the flagpole and its shadow. Verify that the tree is 35 feet tall.

Elementary school students were given a geometry assignment they were to measure the area of several rectangles to measure the diagonal of the rectangle as shown on the table.

Suppose two legs of a right triangle measure 30 feet and 40 feet. What is the perimeter of the right triangle? explain and justify your reasoning.

Dr. Dorothy Smith gave the students in her geometry class at the University of New Orleans the following question. Is it possible to construct a triangle such that the second angle of the triangle has a measure that is twice the measure of the first angle and the measure of the third angle is 5 times the measure of the first? If so, find the measure of each angle.