Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 1041312: The length of a rectangle is
5 m
more than twice the width, and the area of the rectangle is
42 m2
. Find the dimensions of the rectangle.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1041516: - Suppose typhoon X is in the country and is predicted to have 350 km radius. Further, it was reported that town A located 260 km south and 255 km west from its eye is at the circumference of the typhoon. Is the news true?
Click here to see answer by stanbon(75887) About Me 

Question 1041686: The picture below shows a pole and its shadow:
A pole is shown with a right triangle side. The right triangle has hypotenuse 113 cm and base 15 cm.
What is the height of the pole?

Click here to see answer by Fombitz(32388) About Me 

Question 1041753: what is the answer of a=42, b=27
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Question 1041874: Can someone please help me with this word problem? Looks like its dealing with Pythagorean Theorem?
The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m more than the elevation.
What is the length of the incline in meters? Round to the nearest meter:
Options are:
8
15
22
Does anyone know how I could reverse engineer this with my graphing calculator to try each solution and see which one is correct? Or tell me step by step how to come up with the equation to solve this?
I know that the important information is: incline = 2 times as long as elev
and horiz length - 11 meters more than elev
I'm just not sure what to do with the info.
Thanks so much in advance!

Click here to see answer by rothauserc(4718) About Me 

Question 1042240: Contestants in a long distance race run 5 kilometers due south. The runners then turn right and head west towards the finish line. If the straight line distance from start to finish is 13 kilometers, what is the distance that the contestants traveled while heading west?
Click here to see answer by chen.aavaz(62) About Me 

Question 1042411: A boy walks 150ft diagonally across a vacant lot. If one edge of the lot is 95ft long, how long is the other edge? Assume the lot is rectangular.
Click here to see answer by chen.aavaz(62) About Me 

Question 1043329: A person travels 7km due north, then goes 3km due west and then 3km due south.
How far is the person from the starting point?

Click here to see answer by stanbon(75887) About Me 

Question 1043445: Use the Pythagorean Theorem to find the lengths of the sides of the triangle.
a=x+3
b=x
c=15

Click here to see answer by ikleyn(52781) About Me 

Question 1043473: If a right triangle has a hypotenuse of the 5 radical 5 cm and one side is twice as long as the other side, what is the length of its shortest side?. (Simplified radical)
Click here to see answer by josmiceli(19441) About Me 

Question 1043693: a rectangular lawn has an area of 667 square meters. Surrounding the lawn is a flower border 4 meters wide. The border alone has an area of 548 square meters.
A circular sprinkler is installed in the middle of the lawn. What is the spraying radius of the sprinkler if it covers the entire yard, including the flower border?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1043818: Two equalateral triangles have side lengths of 10 centimeters and 25 centimeters respectively, the perimeter of the larger triangle is how many centimeters greater than the perimeter of the smaller triangle
Click here to see answer by ikleyn(52781) About Me 

Question 1044416: IF the diameter oF the circle is 20mm. Then how we can Find the length oF the square inside the circle..
Click here to see answer by Alan3354(69443) About Me 
Question 1044416: IF the diameter oF the circle is 20mm. Then how we can Find the length oF the square inside the circle..
Click here to see answer by josgarithmetic(39617) About Me 

Question 1032039: Triangle ABC has two interior angles with measures of 102 degrees and 43 degrees. Which of the following could be the measure of an exterior angle of triangle ABC.
78
127
88
135

Click here to see answer by MaxWong(38) About Me 

Question 1045071: How do you show all workings rather than substitution to
calculate x where the hypotenuse is x+8 and the other sides
are x and x+7 ?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1045321: Find the length of the diagonal of a rectangle whose sides are 15 cm and 8 cm.
Click here to see answer by Boreal(15235) About Me 

Question 1045470: The area of a rhombus 98m2 .if one of its diagonal 14cm .find the other diagonal
Click here to see answer by ikleyn(52781) About Me 

Question 1045900: Alright so I need help to solve this question
a= 160 b= x c= 160+1/2x
could you show work and explain please
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 1046156: There is a bamboo tree 22 feet tall. The upper end of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1046156: There is a bamboo tree 22 feet tall. The upper end of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?

Click here to see answer by ikleyn(52781) About Me 
Question 1046156: There is a bamboo tree 22 feet tall. The upper end of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?

Click here to see answer by MathTherapy(10552) About Me 

Question 1046158: There is a bamboo tree 22 feet tall. The upper part, of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1046158: There is a bamboo tree 22 feet tall. The upper part, of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?
Click here to see answer by ikleyn(52781) About Me 
Question 1046158: There is a bamboo tree 22 feet tall. The upper part, of which, being broken, reaches the ground 8 feet from the stem. Find the height of the break?
Click here to see answer by MathTherapy(10552) About Me 

Question 1046284: The area of a square garden is 450sq.m. What is the length from one corner to the opposite corner?

Click here to see answer by dkppathak(439) About Me 
Question 1046284: The area of a square garden is 450sq.m. What is the length from one corner to the opposite corner?

Click here to see answer by MathTherapy(10552) About Me 
Question 1046284: The area of a square garden is 450sq.m. What is the length from one corner to the opposite corner?

Click here to see answer by ikleyn(52781) About Me 

Question 1046580: the diagonal of a rectangle is 25 inches the width is 15 inches.what is the area of the rectangle

Click here to see answer by josgarithmetic(39617) About Me 

Question 1046957: A triangle has sides of lengths 3, 5 and x. Which could be the value of x?
1.9
2.3
6.5
8
8.1

Click here to see answer by Alan3354(69443) About Me 

Question 1047200: find the length of side PR, if PQ=8cms and QR=5cm. give answer correct to one decimal
Click here to see answer by stanbon(75887) About Me 

Question 1047960: How do you use the Pythagorean Theorem to find the distance between A(1,0) and B(-3,2)?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1048019: Right triangle with the longer leg 6 cm more than the shorter leg and the hypotenuse 12 cm more than the shorter leg. How long are the sides of the triangle?
Click here to see answer by mathslover(157) About Me 

Question 1048100: the length of the longer leg, a, of a right triangle is 1 centimeter less than the length of the hypotenuse, and the length of the shorter leg, b, is 8 centimeters less than the length of the hypotenuse. use the pythagorean theorem to write a simplified polynomial equal to c2 using only c as a variable.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1048154: suppose you are going to cut a 10 ft metal into 3 pieces(with nothing left over) to make a right triangle. find 5 different ways to do the cuts to make 5 tight triangles with different side lengths
Click here to see answer by addingup(3677) About Me 

Question 1048262: A rectangle is 6ft long and 11 ft wide. What is the length of the diagonal of the rectangle?

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Question 1048385: ABC is a right angled triangle.
Right angled at A.P is a length from A perpendicular to BC.
Show that:-
(a) PA=BC
(b) 1/square of small a= 1/square of small b+1/square of c

Click here to see answer by ikleyn(52781) About Me 

Question 1049073: IF a IS 5 AND C IS √197, WHAT IS b?
Click here to see answer by ikleyn(52781) About Me 

Question 1049934:

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 6 inches and a second side that is 3 inches less than twice the third side, what are the possible lengths for the second and third sides?

Click here to see answer by Alan3354(69443) About Me 

Question 1050530: the ratio between an exterior angle and an interior angle is 2:3 find the number of sides in polygon
Click here to see answer by Boreal(15235) About Me 

Question 1050547: What are the possible expressions for the dimension of the cuboid whose volume=15kx²-5kxy-10y²k?
Click here to see answer by MathLover1(20849) About Me 

Question 1051608: I am doing 3D Pythagoras and instead of having numbers I have 2x, 2x and x. How do I solve it
Click here to see answer by Alan3354(69443) About Me 

Question 1051889: A tv screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of the tv?

Click here to see answer by 428225(90) About Me 

Question 1051873: Find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 2. Express your answer in simplest radical form.
Click here to see answer by ikleyn(52781) About Me 

Question 1052749: What is the answer to "the lawn in front of Kermit Middle School is in the shape of a rectangle 30 yd long and 16 yd wide. How much shorter is your walk if you walk diagonally across the lawn rather then along two sides of it?"

Click here to see answer by rfer(16322) About Me