Heron's Formula - Page 6
Questions
- How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #6 #, and #5 #?
- A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form.
- The length of a rectangle is 3 times as great as its width. If the perimeter of the rectangle is no more than 72 cm, what is the greatest possible length of the rectangle?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #11 #, #14 #, and #13 #?
- Lakia wants to make an enclosed paper basket shaped like a cone for May Day. The slant height of the cone measures 8 inches and the circular opening measures 5 inches across. How much paper does she need for the basket? Use 3.14 for pi.
- One end of a guy wire will attach to a telephone pole 10 feet above the ground. The other end of the guy wire will attach to a bracket located 30 feet from the base of the pole. How long of a guy wire is needed?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #19 #, #14 #, and #13 #?
- Sarah is painting a box to use as a prop in her dance routine. If the box is 18 inches long, 16 inches wide, and 12 inches tall, what is the surface area of the box to be painted?
- A trapezoid has an area of #160# #cm^2#. The length of one base is #20# #cm# and the height is #10# #cm#. What is the length of the other base?
- What is the sum of the area in the figure below?
- A cylindrical barrel has a radius of 7.6 ft and a height of 11.8 ft. Tripling what dimension(s) will triple the volume of the barrel?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #6 #, and #3 #?
- What is the length of EF⎯⎯⎯⎯⎯?
- A right cone has a slant height of 6 and a radius of 4. What is the surface area?
- If the volume of a pyramid with a rectangular base is 500, and has a length of 15 and a height of 4, what is its width?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #6 #, #6 #, and #7 #?
- A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #23 #, #21 #, and #7 #?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #3 #, #7 #, and #7 #?
- A rectangular box has the dimensions #12\times 18 \times 14# inches. What's its volume? What's its surface area?