Questions on Geometry: Triangles answered by real tutors!

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Question 147676: Find x.
If a triangle of known measurement is 45 degrees.
Click here to see answer by GKelly(4)

Question 147488: Let A = (1,1), B = (3,5), and C = (7,2). Explain how to cover the whole plane with non overlapping triangles, each of which is congruent to triangle ABC.
In the pattern of lines produced by your tessellation, you should see triangles of many different sizes. What can you say about their sizes and shapes?

please help me! i am stuck... again
Click here to see answer by mangopeeler07(462)

Question 147597: The midpoints of a triangle are (3,-1) (4,3) and (0,5). Find coordinates for the vertices of the triangle...
Click here to see answer by stanbon(75887)

Question 147768: A bell rope, passing through the ceiling above, just barely reaches the belfry floor. When one pulls the rope to the wall, keeping the rope taut, it reaches a point that is three inches above the floor. It is four feet from the wall to the rope when the rope is hanging freely. How high is the ceiling?

(I made a diagram, but I don't really understand what the bell rope and belfry floor is. My answer was approx. 3.4 feet, but that doesn't sound correct to me. I found it by using triangles with x, 2x, and x square root 3.)

Click here to see answer by stanbon(75887)

Question 147838: I got an answer for this, but I'm not sure if i'm right. thanks!!!!
Standing on a cliff 380 meters above the sea, Sue sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship?
Now Sue sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the 2 ships?

My answer was about 2399.226 meters away, and 1944.194 meters apart.
Click here to see answer by Fombitz(32388)

Question 147839: a 5 foot emma student casts an 8 foot shadow. how high is the sun in the sky? this is another way6 to ask the angle of elevation of the sun.

my answer was 32.0053821 degrees but i'm not sure if i'm right. thanks for the help!
Click here to see answer by Earlsdon(6294)

Question 147931: If the lengths of the sides of a triangle are integers and their product is 504, what is a possible perimeter of the triangle?
Click here to see answer by Fombitz(32388)

Question 147591: Trapezoid ABCD has parallel sides AB and CD, a right angle at D, and the lengths AB = 15. BC = 10. and CD = 7. find the lenghth DA.

thankks!
Click here to see answer by orca(409)

Question 148148: to the nearest tenth of a degree, how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide? (There is more than one interpretation.)
Click here to see answer by Alan3354(69443)

Question 148263: What is two sets of Pythagorean Triples that are similar in ratio to the triple 6,8,10.
Click here to see answer by Alan3354(69443)

Question 148268: Triangles ABC and DEF are similar
AB=5.0 cm
BC=6.0 cm
AC=7.0 cm
If triangle DEF has a perimeter of 360 degrees find the length of the sides of ABC
Click here to see answer by mangopeeler07(462)

Question 148267: Cos 30 degrees = Sin ??? degrees
Click here to see answer by mangopeeler07(462)

Question 148255: 2 triangles are similar
Triangle RTS where rt=4.2 and st=6.0 do not know rs
Triangle JLK where lk=8
what is the length of JL
Click here to see answer by Alan3354(69443)

Question 148385: Taylor lets out 20 meters of kite string then wonders how high the kite has risen. Taylor is able to calculate the answer after using a protractor to measure the 63-degree angle of elevation that the string makes with the ground. How high is the kite, to the nearest meter? What unrealistic assumptions did you make in answering this question?

thanks -cj
Click here to see answer by Earlsdon(6294)

Question 148390: if the sides of a triangle are 13, 14 and 15 cm long, then the altitude drawn to the 24 cm side is 12 cm long. how long are the other two altitudes?> which side has the longest altitude?
Click here to see answer by stanbon(75887)

Question 148414: In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= 60 degrees.
What is the perimeter of the Triangle
Click here to see answer by Alan3354(69443)

Question 148401: a right triangle has a 123 foot hypotenuse, and a 38 foot leg. to the nearest tenth of a degree, what are the sizes of its acute angles?
thank you
Click here to see answer by Alan3354(69443)

Question 148429: The vertices of a triangle lie in a coordinate plane at (2,1),(2,4),and (6,1)
What is the area of the triangle.
Click here to see answer by edjones(8007)

Question 148446: 10. If the sides of a triangle are 13, 14, and 15 cm long, then the altitude drawn to the 14-cm side is 12 cm long. How long are the other two altitudes? Which side has the longest altitude?

Click here to see answer by jim_thompson5910(35256)

Question 148450: 4. If a triangle has a 5-inch side and a 6-inch side, how can it be similar to a triangle with a 4 and 8 inch side? Find all possible examples. Check that examples really ARE triangles.

Click here to see answer by jim_thompson5910(35256)

Question 148491: In square units what is the area of triangle ADB
triangle ABC
D is a point on line AC
angle C is a right angle
AD=6
DC=4
BC=8
AB=10
DB= 4 radical 5
what is the area
Click here to see answer by vleith(2983)

Question 148395: given the figure Triangle ABC, with point D on line segment AB and point E on line segment AC, DE parallel to BC, AD=4, DB=5, and EC=7, then AC=?
Click here to see answer by aswathytony(47)

Question 148658: two circles of radius 10 cm are drawn so that their centers are 12 cm apart. The two points of intersection determine a common chord. Find the length of this chord.
thx
Click here to see answer by Alan3354(69443)

Question 148657: triangle ABC is inscribed in a circle. given that AB is a 40 degree arc and ABC is a 50 degree angle, find the sizes of the other arcs and angles in the figure.
thankyou:]
Click here to see answer by Edwin McCravy(20054)

Question 148654: 6. You are at the sceni overlook at Thatcher Park looking through the panoramic viewer that is looking straight ahead. How far must you rotate the viewer directly downward to see the Egg in Albany, which you know to be 30 miles away. The scenic overlook is two-tenths of a mile high.

Thank you so much!
Click here to see answer by stanbon(75887)

Question 148693: a circular park 80 meters in diameter has a straight path cutting across it. it is 24 meters from the center of the park to the closet point on this path. how long is the path?
Click here to see answer by jojo14344(1513)

Question 148692: what is the sine of an angle whose tangent is 2? first find an answer without a calculator, then check it with one.
thank you!
Click here to see answer by Fombitz(32388)

Question 148656: find all the angles in a 5-12-13 triangle.
Click here to see answer by nabla(475)

Question 148795: a circle witha 4 inch radius is centered at A and a circle witha 9 inch radius is centered at B, where A and B are 13 inches apart. There is a segment that is tangent to the small circle at P and to the large circle at Q. it is a common external tangent of the two circles. what kind of quadrilateral is PABQ? what are the lengths of its sides???
Click here to see answer by Earlsdon(6294)

Question 148787: Let P = (-25,0), Q = (25,0), and R = (-24,0). Find an equation for the circle that goes through P, Q, and R. Find at least two ways of showing that angle PRQ is right, and find coordinates for the three other points R that would have made angle PRQ right.
Click here to see answer by Alan3354(69443)

Question 148793: triangle ABC has P on AC, Q on AB, and angle APQ equal to the angle B. The lengths AP = 3, AQ = 4, and PC = 5 are given. Find the length AB.
Click here to see answer by ankor@dixie-net.com(22740)

Question 148909: The leaning tower of Pisa was originally perpendicular to the ground and 179 feet tall. Because of sinking into the earth, it now leans at a certain angle θ from the perpendicular. When the top of the tower is viewed from a point 150 feet from the center of its base, the angle of elevation is 53 degrees.Use the Lw of Sines to solve.

A) Approximate the angle θ.
b) Approximate the distance d that the center of the top of the tower has moved from the perpendicular.

Click here to see answer by ankor@dixie-net.com(22740)

Question 149250: From the top of Mt Washington, which is 6288 feet above sea level, how far is it to the horizon? Assume that the earth has a 3962 mile radius and give your answer to the nearest mile.
Click here to see answer by josmiceli(19441)

Question 149280: If one of the acute angles in a right triangle is 58�, then what are the degree measures of all three angles?
Click here to see answer by vleith(2983)

Question 149359: if a rectangle of permeter 46 inches and has a width of 8 calculate the area.
Click here to see answer by Fombitz(32388)

Question 149540: Please help me solve this problem!
If A=10 degrees, C=40 degrees, and side c=2, find side b.
Thank you, Natalie

Click here to see answer by Alan3354(69443)

Question 150373: If D and E are midpoints and the length of DE=9, what is the length of AB?
Click here to see answer by Alan3354(69443)

Question 150621: find the length of the missing side of the right angled triangle. a=12; c = 20
Click here to see answer by Earlsdon(6294)

Question 150641: 1.what is the perimeter of a 45 degree. 45 degree, 90 degree triangle with hypotenuse length of 6?
A= 12
B=12 square root 2
C= 9 square root 3
D= 6+6square root 2

2. the lengths of two sides of an obtuse triangle are 12 and 16. which could NOT be the length of the third side?
A=9
B=10
C=20
D=25

Click here to see answer by vleith(2983)

Question 150655: determine the perimeter of a square with diagonal of 72 squared centimeters?
Click here to see answer by vleith(2983)

Question 150661: 1.write true or false. multiplying each number of a Pythagorean triple be a nonzero whole number yields another Pythagorean triple?
2. The longest side of a triangle is 13 centimeters. another side is 11 centimeters. if the triangle is obtuse. right an inequality for the range of values of the third side?
Click here to see answer by mangopeeler07(462)

Question 150643: if (2,4) is the location of the centroid of a triangle. which CANNOT be the coordinates of the verticles of the triangle?
F= (0,0),(0,6),(6,6)
G=(3,4),(3,-2),(0,6)
H= (3,-2),(1,6),(2,8)
J= (2,0) ,(1,8),(3,4)
Click here to see answer by Fombitz(32388)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690