Questions on Geometry: Triangles answered by real tutors!

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Question 144262: How many cubes measuring 1cm on each edge can fit into a box 4cm by 5cm by 6cm?
-i tried it and ended up getting 120 cubes just by making a diagram and counting it out, but my teacher said it wasn't right. Is there some sort of equation i have to use?
It's 4x5x6, which is 120.
Click here to see answer by Alan3354(69443)

Question 144260: What is the area of a right triangle that has a 45 degree angle and a hypotenuse of 16cm?
i tried using the formula A=1/2(B)(H) for the area of a triangle, but it didn't work since i don't have the base or the height.

Click here to see answer by vleith(2983)

Question 144360: A sloped ceiling has a run of 4 and a rise of 1. What are the measurements of all the angles?
Click here to see answer by vleith(2983)

Question 144351: What is 5X + (X+35X)2X+15)
Click here to see answer by vleith(2983)

Question 144664: Find the area of an equilateral triangle in which the height is 3 square root of 3.
Click here to see answer by checkley77(12844)

Question 144696: If you were given three points on a coordinate plane and asked to determine if they were connected they formed:
How can you determine if the lines of the tirangle are connected on a scalence triangle?
a scalene triangle
Click here to see answer by solver91311(24713)

Question 144862: Can you please help me with this problem. I have tried and tried and I am not sure. I need help asap. Thank you.
A BUILDING CASTS A SHADOW 23FT LONG WHEN THE ANGLE OF ELEVATION OF THE SUN IS 52 DEGREES, FIND THE HEIGHT OF THE BUILDING CORRECT TO THE NEAREST INTEGER.
***I MUST SHOW ALL WORK SO PLEASE DO SO FOR ME*** THANK YOU VERY MUCH***
THE PICTURE SHOWS RIGHT TRIANGLE WITH ONE 90 DEGREE ANGLE AND ONE 52 DEGREE ANGLE. I KNOW THE OTHER ANGLE WOULD BE 38 DEGREES. THE ONLY LENGTH I ASSUME GIVEN WOULD BE 23FT WHICH IS ONE LEG THE OTHER LEG IS NOT GIVEN NOR HYPOTENUSE.
THANK YOU SO MUCH IN ADVANCE! =]
Click here to see answer by Earlsdon(6294)

Question 144884: a playground is situated on a triangular plot of land. two sides of the plot are 175 feet long and they meet at an angle of 70 degrees. for safety reason, a fence is to be placed along the perimeter of the property. How much fencing material is needed?
Click here to see answer by stanbon(75887)

Question 144885: In triangle ABC, given the following measures, find the measure of the missing side a=14.2, c=13.9, m of angle B=27.7
Click here to see answer by Alan3354(69443)

Question 145349: In right triangle ABC, M angle B =90, AB=5, and AC =12. Find BC. Round to the nearest tenth, if necessary.
Click here to see answer by Alan3354(69443)

Question 145540: the top of a lighthouse is 120 meters above sea level. the angle of depression from the top of the lighthouse to the ship is 23 degrees. how far is the ship from the foot of the lighthouse?
Click here to see answer by edjones(8007)

Question 145650: How do you find the height of a triangle with only side lengths given?
Click here to see answer by edjones(8007)

Question 145538: hi, i was wondering if you could help me this problem #38 pg. 12 in the College Geometry 2nd Edition, Musser, Trimpe, and Maurer
the problem is
38. Six coins are arranged in a triangular shape as shown. Rearrange the coins to form a circular shape by movie only two coins. To "move" a coin, you must slide it along the surface without disturbing any other coins, and place it in a new position so that it is touching another coin.

here's a picture i took of the question. click on the link
http://i31.tinypic.com/a9y3o6.jpg
thanks, and please show the work if possible
Click here to see answer by Fombitz(32388)

Question 145787: Triangle ABC. Angle C=90, Suppose line a=6 and line c=8; find the measure of angle A.
Click here to see answer by jim_thompson5910(35256)

Question 145756: How do you find the hieght of a triangle if you already know the measurements of all three sides?
Click here to see answer by jojo14344(1513)

Question 145756: How do you find the hieght of a triangle if you already know the measurements of all three sides?
Click here to see answer by jim_thompson5910(35256)

Question 145814: If you are standing 85ft from the base of a flagpole,and determine that at ground level,you would need to look up at a 30 degree angle to see the top of the flagpole,how tall is the flagpole?Round the height to tenths.
Click here to see answer by nerdybill(7384)

Question 145860: triangleABC is an equilateral triangle,D is a point in BC such that BD is one third of BC.prove 9AD2=7AB2
Click here to see answer by vleith(2983)

Question 145963: I know the length of all 3 sides of a right triangle, how do I find the values for the other 2 angles of the triangle?
Click here to see answer by nerdybill(7384)

Question 145655: In triangle XYZ, XY=YZ. If m angle X=52, find m angle Y???
Click here to see answer by Miss Bruzon(1)

Question 146181: hi, i was wondering if you could help me on this partiular problem. i took a picture of it, to show what the problem is. please show work and explanation. this problem involves calculating the measure of each angle. here's the problem
http://i32.tinypic.com/24zx06e.jpg
thankyou.
Click here to see answer by scott8148(6628)

Question 146185: How do I know what kind of triangle it will form from it's length measurements? Acute, Right, or Obtuse?
1) 4cm, 4cm, 4cm
2) 3cm, 4cm, 5cm
3) 5cm, 11cm, 12cm
Click here to see answer by nabla(475)

Question 146298: Find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give answer in simplified radical form???
Click here to see answer by edjones(8007)

Question 146788: the perimeter of a rectangle is 234 meters. The width is 3 meters less than the length. Find the lenght and width.
Click here to see answer by BrittanyM(80)

Question 146790: the number(G) of gears a machine can make varies directly as the time(t) it operates. If it can make 2200 gears in 5 hours how many gears can it make in 8 hours?
Click here to see answer by Fombitz(32388)

Question 146806: Let A = (0,0), B = (4,2), C = (1,3), find the exact size of angle CAB. Justify your answer without your protractor.
Click here to see answer by Alan3354(69443)

Question 146950: THIS IS THE MOST IMPORTANT QUESTION ON MY HOMEWORK AND I JUST CAN'T FIGURE IT OUT!!! please help !
A 25 foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down by 4 feet, by how many feet will the bottom slide out?
Click here to see answer by scott8148(6628)

Question 147048: Pat and Chris were out in their row boat one day, and Chris spied a water lily. Knowing that Pat liked a mathmatical challenge, Chris announced that, with the help of the plant, it was possible to calculate the depth of the water under the boat. When pulled taut, the top of the plant was origionally 10 inches above the water surface. While Pat held the top of the plant, which remained rooted to the lake bottom, Chris gently rode the boat 5 feet. This forced Pat's hand to the water surface. Use this information to calculate the depth of the water.

(I tried finding the depth but I didn't know how to get the lengths. I know it has something to do with a triangle.
Click here to see answer by iNeed(3)

Question 147051: i have a triangle and one side is 28 ft., the other 25 ft. and i need to find the measurement of the third side which is also the longest side
Click here to see answer by iNeed(3)

Question 147089: I have been out of high school and college for over 4 years now...so I used to know the answer, but we are far from it now! I am looking for the "rules" or "formula" or "whatever" that makes this a correct statement. You have a triangle with a right angle. Side A =3ft Side B=4ft (side A and B are connected by the right angle). We know that side C (the hypotonus) =5ft. I want this equation in a larger term (ie Side A=10ft Side B=20ft what is side C) Thanks so much for your help! I actually miss doing this on a regular basis! I loved math in high school, and now it just helping my dad build a cabin. Thanks again. Michelle Wagner
Click here to see answer by jim_thompson5910(35256)

Question 147100: In Triangle ABC, it is given that CA=CB. Points P and Q are marked on segments CA and CB respectively, so that angles CBP and CAQ are the same size. Prove that CP=CQ.
Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 147115: A Triancle is Isosceles if it has at least two sides that are congruent. if the vertices of a triangle are given as A (0,8), R (-4,5), and T (-1,1) determine if Triangle ART is Isosceles or not.
Click here to see answer by Alan3354(69443)

Question 146953: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]. The point P(1,3) becomes T(1,3)=(1=2,3-1)=P'(3,2). Find Q' and R'. Graph both the original triangle and its image.
Click here to see answer by psbhowmick(878)

Question 147275: given an arbitrary triangle,what can you say about the sum of 3 exterior angles, 1 for each vertex of the triangle??

thnx again
Click here to see answer by Earlsdon(6294)

Question 147277: Ive tried this problem 6 different times, and cannot seem to find the answer.

Given triangle ABC with AB = AC, extend segment AB to a point P so that B is between A and P and BP = BC. In the resulting triangle APC, show that angle ACP is exactly three times the size of angle APC. (By the way, notice that extending segment AB does NOT mean the same thing as extending segment BA.)
thnx!!!
Click here to see answer by vleith(2983)

Question 147274: If ABC is any triangle, and TAC is one of its exterior angles, then what can be said about the size of angle TAC, in relation to the other angles of the figure?
thanks !!!!!
Click here to see answer by vleith(2983)

Question 147268: PLEASE HELP! I don't know how to find the length of any altitude. There are several problems on my homework like this, so if i understand the steps for this problem, i can figure out the others. THANKS!

A triangle that has a 13-inch side, a 14-inch side, and a 15-inch side has an area of 84 square inches. Accepting this fact, find the lengths of all three altitudes of this triangle.

Click here to see answer by scott8148(6628)

Question 147271: If it is know that one pair of alternate interior angles is equal, what can be said about...
-the other pair of alternate interior angles
-either pair of alternate EXTERIOR angles
-any pair of corresponding angles
-either pair of non-alternate interior angles.

THANKS SO MUCH
Click here to see answer by Nate(3500)

Question 147336: Given isosceles triangle ABC where AB = BC = 10 and the altitude from B has length 4. Find the length of the base.

Thanks so much, I really don't understand altitude problems.
Click here to see answer by Nate(3500)

Question 147340: prove that the sum of the angles of any quadrilateral is 360 degrees.
does it have to do with the expression: (n-2)180
where n is the number of sides?
Click here to see answer by nabla(475)

Question 147468: Triangle ABC is isosceles with base AC. If AB=7x+3, CB=8x-9, and AC=5x+6, find the lengths of the sides of the triangle
Click here to see answer by jim_thompson5910(35256)

Question 147624: The second angle of a triangle is 4 times as large as the first. The third angle is 45 degrees less than the sum of the other two angles. Find the measurment of each angle.
Click here to see answer by mangopeeler07(462)

Question 147485: Triangle EWS has a perimeter of 26 and SE = 1/2 WE. The midsegment parallel to WS = 4. Find the lengths of the three sides of this triangle.
thank you soo much
Click here to see answer by aswathytony(47)

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