Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 1131932: Find the perimeter of ΔTAP with vertices T(1, 4), A(4,4), and P(3,0) to the nearest tenth unit.
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Question 1132233: How do I find a side of a parallelogram using the length of its diagnol ?
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Question 1132233: How do I find a side of a parallelogram using the length of its diagnol ?
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Question 1132233: How do I find a side of a parallelogram using the length of its diagnol ?
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Question 1132496: Dayton is mountain climbing with Leo and has just climbed a 15-meter vertical rock face. Leo is standing 8 meters away from the bottom of the cliff, looking up at Dayton. How far away are Dayton and Leo?

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Question 1132610: A rectangular field is 80 meters wide and 120 meters long. A coach asks players to run from one corner to the opposite corner diagonally across the field. How much is it to run the field than around it
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Question 1132668: A rectangle is 2.8 cm wide and the length of each diagonal is 5.3 cm. Calculate the length of the rectangle.
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Question 1133609: Prove that (5,x,x+1)are Pythagorean triplets
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Question 1133609: Prove that (5,x,x+1)are Pythagorean triplets
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Question 1133609: Prove that (5,x,x+1)are Pythagorean triplets
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Question 1133607:
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Question 1133663: A man wanted a flat piece of wood in a shape of a right angled triangle,the shortest side was to have a length of three meters.calculate the other two sides if they were consecutive whole numbers.
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Question 1134116: SOLUTION: The following diagram shows a solid consisting of a right circular cone fastened to a hemisphere with a common base.Find the a) volume of solid b) total surface area of sold
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Question 1134425: The area of the lateral surface of a cone is πrl, where l is the slant height. Find the lateral surface area of the cone. The slant height is 12.5 cm and the height is 12 cm.
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Question 1134424: A spider sits in a corner of a tank shaped like a rectangular prism. The tank is 13 inches long, 6 inches wide, and 8 inches high. The spider starts to make a web by spinning a length of silk that stretches tightly from one corner along a central diagonal to the opposite corner. A) Find the length of the diagnol rectangular floor of the tank. b) find the length of the silk the spider spins from one corner of the tank to the other corner.
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Question 1134587: A ceramic candle holder in the shape of a cylinder has a radius of 2.40 inches. A hemisphere of radius 1.75 inches is removed from the center of the cylinder. Find the volume of ceramic in the candle holder. The slant height is 4 inches.
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Question 1134586: A swimming pool is 12 feet long and 10 feet wide. At its deepest, it is 7 feet deep. A slope 5 feet long links the deep end to the shallow end. Jonathan wants to fill the pool with 800 cubic feet of water. Is this possible? Explain.
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Question 1134583: A trophy is made of a glass triangular prism attached to a 0.5 inch high wooden block shaped like a square prism. The height of the triangular prism is 6 inches. The volume of the wooden base is 4.5 cubic inches. Find the volume of the entire trophy, including the base.
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Question 1134585: A crystal paperweight is shaped like a cylinder with a star-shaped hole. The top of the star-shaped hole is shaped like a square with four points that are identical equilateral triangles. The height of the cylinder is 3 centimeters. Find the volume of the paperweight.
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Question 1134724: A suitcase is shaped like a rectangular prism. The length of the diagonal of one of its largest faces is 30 centimeters. The width of this face is 18 centimeters. Find the length of this face.
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Question 1134723: Ellen's computer screen is a 20 inch screen, which means that the length of the diagonal of the rectangular screen is 20 inches. The screen can be laid flat so that it just fits into a box that is 12 inches wide. How long is the box?
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Question 1134726: A doorway is 80 inches tall and 32 inches wide. Can a round tabletop with diameter of 90 inches fit through the doorway? If not, what is the greatest possible diameter that will fit through the doorway? Explain
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Question 1134725: An extendable ladder 9.8 feet long leans against a wall with the base 3 feet from the wall. Assuming the base of the ladder does not move, about how much higher will the top of the ladder be above the ground when the ladder extended to twice its original length?
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Question 1134729: Candy builds a cage for some chickens out of wood and wire mesh, as shown below. The two slanted sides of the cage are the same size and shape. Find the height of the cage. Looks like a triangular prism, the slant height is 40 inches and the length is 64 inches
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Question 1134786: The length of the base of a square pyramid is 12 inches. Given that the surface area of the square pyramid is 336 square inches, find the height of the pyramid.
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Question 1134728: Four identical pieces are cut off the sides of a cylinder, as shown. The remaining shape is a square prism. The diagonal of the prism's square base is as long as the diameter of the cylinder. The diameter of the cylinder was 12 centimeters, and the height of the cylinder was 4.6 centimeters. Find the exact length of a side of the square base of the prism. Then find an approximate volume of the prism.
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Question 1135076: If the midsegment of an isosceles triangle is 5 feet and each of the congruent sides of the triangle are 6 feet, what is the measure of the side parallel to the midsegment?
Round your answer to the nearest unit if necessary and include units.
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Question 1135075: In the diagram below, R is located at (24, 0), N is located at (12, 18), T is located at (12, 6), and E is located at (18, 15). Assume that N, K, T, E, I, and B are midpoints.
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Question 1135073: P and Q are the midpoints of line AI and line IR, respectively. Use the properties of midsegments to find the perimeter of ∆AIR. Round to the nearest tenth if necessary.
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Question 1135071: As an answer to a test, Monica sees the figure below and determines that line segment IR is parallel to line segment AE. Monica's teacher counted it as incorrect. Determine the error in Monica's reasoning.

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Question 1135074: In △ S M D, point B is the midpoint of SM, point N is the midpoint of MD, and point T is the midpoint of DS.

Find the length of SM.
SM=
Determine the values of x, y, and z. Round to the nearest thousandth if necessary.
x=
y=
z=
NT+TB-BN=
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Question 1135134: A wooden is 24cm long ,18cm wide and 9cm high, How much space does it enclose?
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Question 1135245: Given AB and CD construct EF such that EF^2 = AB^2 + CD^2.
Note that all must be seperate points.
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Question 1135331: The floor of storage unit is 16 feet long and 12 feet wide. Starting at the far left corner, Suzie walks down the length, across the width, and then diagonally back to the far left corner. How far does Suzie walk?

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Question 1135590: A 4-meter ladder is 1 meter from the base of a building.How high up the building does the ladder reach?
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Question 1135589: rectangle ABCD has dimensions of 7 units by 5 units.find the length of each of its diagonal

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Question 1136121: For what values of theta sin theta plus cos theta greater than 2 justify answer
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Question 1136146:
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Question 1136390: Candy builds a cage for some chickens out of wood and wire mesh, as shown below. The two slanted sides of the cage are the same size and shape. Find the height of the cage. the slanted sides are 40 in. and the base is 64 in. can u please help me find the height of the cage?
Click here to see answer by greenestamps(13200)

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