Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 369002: Lewis Tower in Philadelphia is 400 ft. high. Suppose that a ball is projected upward from the top of the tower, and its position in feet above the ground is given by the quadratic function defined by f(t)= -16t^2+45t+400, where t is the number of seconds elapsed. How long to the nearest 10th of a second will it take for the ball to reach a height of 200 ft. above the ground?
I used the pythagorean theorem but I got 6.6 and the answer is 5.2. I don't know what I am doing wrong.

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Question 369111: the foot of a ladder is 9 feet from the wall. the ladder is 3 feet longer than the distance it reaches up the wall. How far up the wall does the ladder reach?
Click here to see answer by neatmath(302) About Me 
Question 369111: the foot of a ladder is 9 feet from the wall. the ladder is 3 feet longer than the distance it reaches up the wall. How far up the wall does the ladder reach?
Click here to see answer by ewatrrr(24785) About Me 

Question 369221: What are the dimensions of a right triangle where the hypotenuse is 10 and the area is 20?
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Question 370456: Find the exact length of the altitude of an equilateral triangle each of whose sides measures 14.
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Question 370593: If P(x) = x^3 + 4x^2 - 8x - 15
Use the remainder theorem to find P(-5).

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Question 370593: If P(x) = x^3 + 4x^2 - 8x - 15
Use the remainder theorem to find P(-5).

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Question 371256: Find the length of the hypotenuse of a right triangle with legs of lengths 6 and 8.
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Question 371689: How does a^2+b^2=c^2 become d= sqrt(x2-x1)^2+(y2-y1)^2
Click here to see answer by Alan3354(69443) About Me 

Question 372288: I believe that I encountered a Pythagorean problem in which it could be worked with only knowing the length of one leg. It involved using a ratio between the two legs. Do I remember correctly and, if so, what are the ratios involved?
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Question 373090: the hypotenuse of an isosceles right triangle is 10 sqrt(2) cm.Find the length of the other sides.
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Question 373713: The hypotenuse of a right triangle is 15 cm, and the shorter leg is 9 cm. Find the length of the other leg.
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Question 374096: Suppose that the length of one leg of a right triangle is 3 in more than the length of the other leg. If the length of the hypotenuse is 15 in find the lengths of the two legs.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 374875: The hypotenuse of a right triangle is √29 cm. One leg is 8 cm shorter than twice the length of the other leg. Find the lengths of the legs of the right triangle.

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Question 375236: an isosceles triangle with sides 5 and base 8, and I am being told to solve it like so:
h^2+4^2=5^2
When I tried to solve it myself, I got h^2+16=25
The solution page gives me:
h^2=24-16=9
I don't understand what h^2 means, or where the 24 or 9 are coming from. Please help.

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Question 377491: a right triangles hypotenuse has a length of 5. if one leg has a length of 2, what is the length of the other leg?
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Question 378118: Lightning hit a tree three-eighths of the distance up the trunk from the ground and broke the tree so that its top landed 40 feet from the base of the trunk as shown. How tall was the tree originally? Show all work.
Click here to see answer by mananth(16946) About Me 

Question 378175: using the pythagorean theorem, whne the hypotnuse=36, how can I figure out a and b?
Click here to see answer by Fombitz(32388) About Me 

Question 378256: the hypotnuse of a right triqangle measures 13 centimeters. Find the lengths of the legs if their sum is 17 centimeters.
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Question 380615: Use the Pythagorean Theorem to find the length of the diagonal of a piece of paper that measures 16 inches by 24 inches.
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Question 380892: What is the equation of a circle with center at -2,1; radius =1/10
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Question 380888: What is the radius and center of a circle represented by
(x - 1)^2 + y^2 = 36?

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Question 381167: in pythagorean theorm can the answer be a decimal?
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Question 381833: the two legs of a right triangle are 5 inches and 12 inches respectively. Find the hypotenuse of the right triangle
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Question 383942: My math problem is (10+x^2)=21^2+x^2. I understand the pythagorean theorem,but don't understand how to solve this problem.
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Question 383981: Can you help me solve this equation?
If the legs of a right angle are 9 and 17, what is the length of the hypotenuse?

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Question 384062: if the legs of a right angle are 9 and 17 what is the hypotenuse?
Click here to see answer by Theo(13342) About Me 

Question 385091: My question is on the Pythagorean Theorom
The question asks:
Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5.She askes you to find the other leg of the triangle without using paper and pencil. What is your answer.
I tried solving it by subtracting 5 from 13 because of the one rule that says the sum of the two legs will equal the hypotenuse if it is a right triangle, but I am not sure if that works for this.
Thank you

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Question 385784: a 50-foot pole is supported by a 150-foot-long guy wire at its top. find the horizontal distance (on the ground) from the pole to the wire.
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Question 386799: How do you do 30-60-9- triangles and 45-45-90 triangles?
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Question 387398: what is the length of the shorter leg of a right triangle whose hypotenuse is 13m long and whose longer led is 12m long?
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Question 388291: A 7ft ladder is placed against a wall with it base 2ft from the wall. How high above the ground is the top of the ladder?
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Question 388486: What is the difference between the pythagorean theorem and the pythagorean theorem triple?
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Question 388314: Find height of tree using pie pan and ruler?
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Question 388314: Find height of tree using pie pan and ruler?
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Question 388916: A sq. + B sq. = 2304 Right Triangle
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Question 388930: the hypotenuse of this triangle is 17 meters. if there are no decimal answers, what would the actual measures of sides a and b have to be?
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Question 388930: the hypotenuse of this triangle is 17 meters. if there are no decimal answers, what would the actual measures of sides a and b have to be?
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Question 388930: the hypotenuse of this triangle is 17 meters. if there are no decimal answers, what would the actual measures of sides a and b have to be?
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Question 388931: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.
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Question 388931: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.
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Question 388931: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.
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Question 389205: Triangle ABC is right-angled at B and D is any point on AB.DE is perpendicular to AC.If AD=4cm,AB=16cm,AC=24cm.Find AE
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Question 389841: Danica Bianca attends a school which is 3 km east and 5 km south of their house. The plaza is 4 km west and 2 km north of the house. The streets in their neighborhood are laid out like a rectangular grid.How far is it from the school to the plaza?
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Question 389856: If the lengths of two sides of a triangle measure 7 and 15 then the length of the third side could measure?
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