Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 1194605: Solve each right triangle who's measures are given in the table.the right triangle is at C
Click here to see answer by Alan3354(69443)

Question 1194605: Solve each right triangle who's measures are given in the table.the right triangle is at C
Click here to see answer by ikleyn(52778)

Question 1195509: A bowl is in the shape of a hemisphere (half sphere) with radius 10 cm. The surface of the water in the
container has a radius of 7 cm. How deep is the water? Give your answer to one decimal place.
Click here to see answer by bushra444(1)

Question 1196476: Donald's school is due west of his house and due south of his friend Scarlett's house. The distance between the school and Scarlett's house is 3 kilometres and the straight-line distance between Donald's house and Scarlett's house is 6 kilometres. How far is Donald's house from school? If necessary, round to the nearest tenth.

Click here to see answer by josgarithmetic(39617)

Question 1196615: Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
The shorter leg of a right triangle is 9ft shorter than the longer leg. The hypotenuse is 9ft longer than the longer leg. Find the side lengths of the triangle.
Short Leg - x-9
Longer Leg x
Hypotenuse x+9
The pythagorean theorem
x^2 + (x-9)^2 = (x+9)^2
And for some reason, I haven't forgotten to factor because my numbers aren't working out.
I need to find what x = so I can figure out the side of each leg of the triangle.
Thank you,
Hannah
Click here to see answer by ewatrrr(24785)

Question 1196673: please can you help me solve this question,show that if (a,b,c)is a pythagorean triple, then (Ra,Rb,Rc) for any R>0 is also a pythagorean triple. give your geometric interpretation of this.
Click here to see answer by math_helper(2461)

Question 1196826: Verify that the points (2, -1), (5, 5) and (6, -3) is a right triangle.

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Question 1196826: Verify that the points (2, -1), (5, 5) and (6, -3) is a right triangle.

Click here to see answer by math_tutor2020(3816)

Question 1196827: A right triangle has a hypotenuse of 1. One leg is x. The other leg is (x - 7).
Find the area of the triangle.
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Question 1196827: A right triangle has a hypotenuse of 1. One leg is x. The other leg is (x - 7).
Find the area of the triangle.
Click here to see answer by ikleyn(52778)

Question 1196827: A right triangle has a hypotenuse of 1. One leg is x. The other leg is (x - 7).
Find the area of the triangle.
Click here to see answer by math_tutor2020(3816)

Question 1196863: I need help on this word problem so the question a²+b²=c² and it says Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
Click here to see answer by ikleyn(52778)

Question 1197396: A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1092 in^3, what were the original dimensions of the piece of metal?
What is the original width?
Click here to see answer by ikleyn(52778)

Question 1197481: A 96 inches long ladder is leaning against a tall tree.The foot of the ladder is 26 inches from the base of the tree.How far up the trunk is the top of the ladder?
Click here to see answer by ewatrrr(24785)

Question 1198047: I have a 16 inch laptop and the screen is 9 inches tall how wide is it
Click here to see answer by ikleyn(52778)

Question 1198181: Instruction: Solve and show your solution.
Problem:
Find the resultant of A=30lbs upward and B=40lbs to the left.
Click here to see answer by math_tutor2020(3816)

Question 1198218: A chord of a circle is 9cm long. if it's distance from the centre of the circle is 5cm,calculate the radius of the circle
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Question 1198218: A chord of a circle is 9cm long. if it's distance from the centre of the circle is 5cm,calculate the radius of the circle
Click here to see answer by ankor@dixie-net.com(22740)

Question 1199425: the distance between bases on a baseball diamond is 90 ft. How far is it between third and first base?

Click here to see answer by ikleyn(52778)

Question 1199600: Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13 using the Pythagorean Theorem.
I found the two points using (x - x_0)^2 + (y - y_0)^2 = r^2.

How can I find the same points using the Pythagorean Theorem?

Thanks
Click here to see answer by greenestamps(13198)

Question 1199689: You are standing beside the Colorado River, 400 feet from the base of Hoover Dam.
Using an electronic distance measuring device, you find the distance to the top of the dam to be 985 feet.

Click here to see answer by lil baby2023(1)

Question 1199718: 'Consider the diagram below. 5,66 5,66 Which of the following represent the values of x,Y; and z t0 the nearest hundredth?
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Question 1199719: n rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.
Click here to see answer by ikleyn(52778)

Question 1199926: A bird is sitting at the top of a tree that is 14 feet tall.
It spots an appetizing piece of bread on the ground 5 feet away from the foot of the tree.
If it flies in a straight line down to the breadcrumb, how far does it fly?
Round your answer to the nearest foot.

Click here to see answer by ikleyn(52778)

Question 1199954: A boat sails 40km in a Northerly direction then 20km in a Westerly direction. How far is the boat
from its starting point now?

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Question 1200039: If in a right triangle, the given legs are a=18 and b=21, then by using the Pythagorean Theorem find the hypotenuse, c.
The hypotenuse is c=
Click here to see answer by josgarithmetic(39617)

Question 1200080: The hypotenuse of a right triangle is 9 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
Click here to see answer by Alan3354(69443)

Question 1200275: Given Triangle ABD, with the diagonal AC.
Given: BC = 11, AC = 25, AB = 30, and AD = h, find h.
Click here to see answer by ikleyn(52778)

Question 1200358: Mia is mountain climbing with Helen and has just climbed a 33-foot vertical rock face. Helen is standing 56 feet away from the bottom of the cliff, looking up at Mia. How far away are Mia and Helen?

Click here to see answer by ikleyn(52778)

Question 1200405: A 119-foot tower is located on a hill that is inclined 32° to the horizontal, as shown in the figure below. A guy wire is to be attached to the top of the tower and anchored at a point 97 feet uphill from the base of the tower. Find the length of wire needed. (Round your answer to one decimal place.)
Click here to see answer by math_tutor2020(3816)

Question 1200686: In parallelogram QUID, m∠Q = 2x + 5° and m∠I = 4x − 55°. What is m∠U?
Click here to see answer by ikleyn(52778)

Question 1200948: Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face. Erin is standing at the bottom of the cliff, looking up at Mandy. If Erin is 30 meters away from Mandy, how far away from the cliff is Erin standing?

Click here to see answer by ikleyn(52778)

Question 1200951: From her home, Ling would have to walk due north to get to her friend Allie's house and due east to get to her friend Reid's house. It is 5 miles from Ling's house to Reid's house and a straight-line distance of 7 miles from Allie's house to Reid's house. How far is Ling's house from Allie's house? If necessary, round to the nearest tenth.

Click here to see answer by ikleyn(52778)

Question 1200949: Luna takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut she makes is 10 inches long and the width of the paper is 9 inches. What is the paper's length? If necessary, round to the nearest tenth.

Click here to see answer by ikleyn(52778)

Question 1201282: A right triangle’s hypotenuse is 6 cm, and one leg is
√5 cm. Find the length of the other leg.

Click here to see answer by josgarithmetic(39617)

Question 1201807: what is the length in simplified form, of the hypotenuse of a right triangle whose legs are 27 and 31 units long?
Click here to see answer by ikleyn(52778)

Question 1201913: A 16 -inch laptop has a screen that is 7 inches tall. How wide is the screen?

Click here to see answer by mananth(16946)

Question 1201913: A 16 -inch laptop has a screen that is 7 inches tall. How wide is the screen?

Click here to see answer by Alan3354(69443)

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