Questions on Geometry: Triangles answered by real tutors!

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Question 151064: given:angle4 is an exterior angle of the triangle
Proves:m angle 4= angle 1+ angle 2
m angle 3+ m angle 4=180??
those that is Definition Supplementary angles???

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Question 149358: if the area of the trapezoid is 234 square units calculate the lenght of the longer base.
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Question 151418: Took a bike ride and traveled 1.66 miles (8765 ft) and increased in elevation 156 ft. How do I calculate the angle of acent?
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Question 151431: Triangle question
sailboat has area of 64 square ft height 16ft what is the base
Is it A=1/2(b)(h) = 64=2bx16 I am stuck after that

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Question 152238: Could someone show me how to solve this word problem for triangles?
The base of the triangle is 7cm greater then the height. The area is 39cm%5E2. Find the height and the length of the base.

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Question 152285: Two boats leave the port at the same time. The first boat travels due east at 14 mph, and the second boat travels at 28 mph in the direction of N30 degrees east.
To the nearest tenth of a mile, how far apart will the boats be in a half an hour? (Distance = (Rate)(Time), 0.5 represents a half an hour.)

Click here to see answer by jojo14344(1513) About Me 

Question 152071: How can I prove triangle labeled ∆ AGC is isosceles? I have to show in a two column chart how the triangle is isosceles. I have no idea where to begin can you help me?

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Question 152364: The hypotenuse of right triangle ABC is 4 cm long. What are the lengths of the other two sides? How do you do it step by step? You have two angles 60 and 30 and a 90. Is there an equation to use?
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Question 152633: A car is driven 12miles west and then 5miles north. How far is the car from the starting point?
Click here to see answer by Fombitz(32388) About Me 

Question 153234: what is the perimeter of a triangle which sides measure 6,8,and 10 inches?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153244: what is value of x . In a trinagle
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Question 154288: The hypotenuse equals 23 units, find the size of the other two legs of a right triangle with one leg 3 units more than the other. What is the formula?
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Question 155020: The hypotenuse of a right triangle is twice as long as the shortest side. The third side is 10√3 cm long. Find the length of the hypotenuse.
Click here to see answer by nerdybill(7384) About Me 

Question 155122: How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8
Thank you

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Question 155557: The sides of a triangle are in the ration 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in.?
Click here to see answer by sim9739(6) About Me 
Question 155557: The sides of a triangle are in the ration 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in.?
Click here to see answer by checkley77(12844) About Me 

Question 155574: How do you solve: The second angle of a triangle is 3X as large as the 1st. The third angle is 20 degrees larger than the sum of the firs two. Find the measures of the angles.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 156009: two angles are supplementary. One has a measure of 58 degrees. Find the measure of the second angle.
Click here to see answer by stanbon(75887) About Me 
Question 156009: two angles are supplementary. One has a measure of 58 degrees. Find the measure of the second angle.
Click here to see answer by Electrified_Levi(103) About Me 

Question 156023: The sum of the angles of a triangle is 180. Find teh three angles of the triangle if one angle is 4 times the smallest angle and the third angle is 24 degrees greater than the smallest angle.
Click here to see answer by orca(409) About Me 

Question 156630: PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS!
A right triangle has one leg three times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.
P=

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Question 156675: for each triangle, two sides are given. What is the third side?
15 ft, 33 ft

Click here to see answer by gonzo(654) About Me 

Question 156850: The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the other. What are the lengths of the sides of the triangle?
So far I know that i should use the Pythagorean theorem.
I've drawn the triangle and know:
1st Leg: h/2
2nd Leg: h-10
Hypotenuse: h
(h-10)^2 + (h/2)^2 = h^2
4(h^2-20h-100+ (h^2/4))=h^2
4h^2-80h-400+h^2=h^2
5h^2-80h-400=h^2

Click here to see answer by jim_thompson5910(35256) About Me 
Question 156850: The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the other. What are the lengths of the sides of the triangle?
So far I know that i should use the Pythagorean theorem.
I've drawn the triangle and know:
1st Leg: h/2
2nd Leg: h-10
Hypotenuse: h
(h-10)^2 + (h/2)^2 = h^2
4(h^2-20h-100+ (h^2/4))=h^2
4h^2-80h-400+h^2=h^2
5h^2-80h-400=h^2

Click here to see answer by nerdybill(7384) About Me 

Question 156803: Two airplanes leave an airport at the same time. The heading of the first is 120 degrees and the heading of the second is 320 degrees. If the airplanes travel at the rates of 700 mph and 600 mph respectively, how far apart are they after an hour?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 156946: If a triangle has one angle of 36 degrees, a second angle of 60 degrees, what is the third angle
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Question 154578: How do you go about finding the length of the sides of a triangle that is placed in a circle?
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Question 156961: This is a question from a worksheet - not a text book. Find the length of one side of the square when the hypotenuse is sqrt50. Thank you!
Click here to see answer by rogerhinson(3) About Me 
Question 156961: This is a question from a worksheet - not a text book. Find the length of one side of the square when the hypotenuse is sqrt50. Thank you!
Click here to see answer by midwood_trail(310) About Me 

Question 157004: I am supposed to sketch and label the figure: Two different isosceles triangles with perimeter 4a+b. I am struggling because if it is two different triangles, shouldn't it be 2b rather than b?
Click here to see answer by gonzo(654) About Me 

Question 157161: In a right triangle, find the length of the side not given.
b=2
c=sqrt29
a=?

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Question 157613: Perimeter of triangle
solve for c: P=a+b+c

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Question 157829: A triangle has sides whose lengths are 2,12, and 13. A similar triange could have sides with lengths of:
1) 3,13,14
2) 4,24,26
3) 3,4,5
4) 10,24,26

Click here to see answer by gonzo(654) About Me 

Question 158263: Ninety-eight feet of fencing is required to fence in a triangular ostrich pen. If the second largest side is three feet longer than the shortest side and the longest side is one foot shorter than twice the shortest side, what is the length of the largest side?
Click here to see answer by checkley77(12844) About Me 

Question 158298: I have a triangle and the sides are 150 cm 175 cm and 200 cm. I have 25 similar trianles that I need to use to tile the entire area of this triangle. I am supposed to tell the lenghts of the sides of the small triangles used in the tiling and explain how I figured it out. I think that the sides are 6cm 7cm and 8cm each, but I'm not sure how I got that. Am I going in the right direction and if so, how do I explain it.
Click here to see answer by scott8148(6628) About Me 

Question 158757: There is a right triangle, ABC. Angle C is the right angle. Angle A is 22 degrees. Line AC is 10 cm. What is the length of side BC?
Click here to see answer by checkley77(12844) About Me 

Question 159580: if two of the angles in a triangle are 70 degrees and 3 degrees, how large is the third angle?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 159765: One angle of a right triangle measures 75 degrees, what is the measure of the other acute angle?
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Question 159765: One angle of a right triangle measures 75 degrees, what is the measure of the other acute angle?
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Question 159764: If a triangle has two angles that measure 59 degrees and 100 degrees, what is the measure of the third triangle?
Click here to see answer by solver91311(24713) About Me 
Question 159764: If a triangle has two angles that measure 59 degrees and 100 degrees, what is the measure of the third triangle?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 159695: i just dont understand how to do this problem please break dont to step by step?
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Question 159786: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 160074: Jose had a herd of cattle. Then he bought more cattle so that total number wsa four times the original number. He was given six more cattle, he then sold half the herd, and finally lost 4 cattle. At this time Jose had 39 cattle left. How many cattle did he have at the start?
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Question 160443: I am having some trouble with this one, could someone help me? Please
In a right triangle find the length of the side not given.
b=1
c=sqrt+10

Click here to see answer by jim_thompson5910(35256) About Me 

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