Questions on Geometry: Triangles answered by real tutors!

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Question 19207: if triangle ABC is an isosceles triangle, aangle B is the vertex angle, AB=6x+3 BC=8x-1 and AC=10x-10 find x and the measures of each side of the triangle
Click here to see answer by venugopalramana(3286)

Question 19257: Triangle ABC has area 240. Points X,Y,Z lie on sides AB,BC, and CA, respectively. Given that segment AX/BX=3, BY/CY=4, CZ/AZ=5, find the area of triangle XYZ.
Click here to see answer by khwang(438)

Question 20467: a flagpole 14m high casts a shadow of 8m. how high is a flagpole that casts a shadow of 10m.
Click here to see answer by kcrawford(3)

Question 20644: I have balanced a weightless beam, ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulcrum 1.5 meters from the 6kg mass. What is the unknown mass?

Click here to see answer by Paul(988)

Question 20645: I have balanced a weightless beam , ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulcrum 1.5 meters from the 6kg mass. What is the unknown mass?

Click here to see answer by AnlytcPhil(1276)

Question 20676: What are pythagorean triples and how would you answer this question:
Which set could not represent the lengths of the sides of a triangle?
Click here to see answer by elima(1433)

Question 20859: Given the coordinates of the midpoints of the sides of a triangle find the coordinates of the vertices of the triangle.
Midpoint Coordinates:
L(-2,1)
M(2,3)
N(3,-2)
I know that you can plot the coordinates and then draw in the triangle and find the coordinates of the vertices that way, but I was wondering if there was an easier or mathematical way to go about solving the problem. Thank you for looking this over.
Click here to see answer by venugopalramana(3286)

Question 20815: The lengths of two sides or a triangle are 7 and 10. The length of the third side may be:
a)17 b)20 c)3 d)8
Click here to see answer by venugopalramana(3286)

Question 21347: can the angles in a triangle have the measures given?43degrees,48degrees,90degrees #2 21.3degrees,56.7degrees,102degrees
Click here to see answer by venugopalramana(3286)

Question 21343: You are enclosing a triangular playground with fence. You have measured two sides of the playground to be 100 feet and 200 feet. What is the maximum total length of fence that you need?
Click here to see answer by venugopalramana(3286)

Question 21412: This is a geometry question, from my algebra class, we are working on quadatric equations. Iam so confused. I know the formula for area of a triangle. A = 1/2 b x h. But can't figure out how to come up with an equation to figure out how to do this.
The question:
The base of a triangle is 4 feet less than 3 times the height, and the area is 16 square feet. Find the dimensions of the triangle (Note: need to set up an equation to sove the problem) Please help!! Thank you.
Click here to see answer by josmiceli(9649)

Question 21164: I need help with this problem:
The area of a triange is 90 square feet. The height is 2 less than twice the base. Find the base and height of the triangle.
So, A=90 sq ft and the area of a triangle is 1/2 x B x H. The height of my triangle is going to be 2b-2. Here's where the problem is...I don't know what to do next or how to find what my base is. Any help will be great. Thanks!!
Jenny
Click here to see answer by bonster(299)

Question 21529: I have a yard that is a triangle. My sides measure 110 ft by 120 ft by 150 ft. If 1 bag of fertilizer covers 1200 square ft. how many bags will I need to cover the yard?
Click here to see answer by Earlsdon(6287)

Question 22745: retangle dim are 13yd x 13yd x6.5yd x22yd
Click here to see answer by stanbon!(97)

Question 22975: line segmant ab is congruent to bc and cd and ad (that is abcd is a rhombus)prove that line segmant ac is perpendicular to line segmant bd (hint: use detour)
Click here to see answer by venugopalramana(3286)

Question 23109: the height of a triangle is three feet longer than the base. the area of the triangle is 35 square feet. find the height and base of the triangle.
Click here to see answer by rapaljer(4667)

Question 22457: name the triangle according to its length sides and measure
Click here to see answer by rapaljer(4667)

Question 23158: I need help on figuring out the sides for triangle PQR. Coordinates given: P=(-2,6); Q=(-2,0); R=(5,0).

Click here to see answer by rapaljer(4667)

Question 23437: Prove that if a triangle has two congruent medians, then it is isosceles.
Click here to see answer by venugopalramana(3286)

Question 23698: How can you tell by looking at the lengths of three line segments whether they can be used to form a triangle?
Click here to see answer by venugopalramana(3286)

Question 24470: I am stuck on this question:
A right triangle is a triangle with one angle measuring 90degrees. In a right triangle, the sides are realted by Pythagorean Theorem,c squared=a squared+b squared where c is the hypotenuse (the side opposite the 90 degree angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet?
Click here to see answer by venugopalramana(3286)

Question 24468: in triangle EFG, FH is the bisector of angle F. if EH=6 and HG= 9, find the ratio of FG:EF.
Click here to see answer by venugopalramana(3286)

Question 24467: in triangle EFG, FH is the bisector of angle F. if EH=6 and HG= 9, find the ratio of FG:EF.
Click here to see answer by venugopalramana(3286)

Question 24465: in triangle ABC, BD is the angle bisector of angle B. if AB=6 and BC=8, find the ratio AD:DC.
Click here to see answer by venugopalramana(3286)

Question 24532: PLEASE HELP WITH THIS TOO!
In a certain triangle, the first angle measures 9 degrees less than the second angle. The third angle measures 3 degrees more than the second angle. Find the measures of all three angles.
I can solve this if I have the degrees of two sides, but this doesn't give any. I thought I should let x=second angle, x-9=first angle, and x+3=third angle but I didn't know where to go from there(or if that was the way to start)
THIS IS DUE BY 01/17/06. THANKS FOR YOUR TIME!
Click here to see answer by Earlsdon(6287)

Question 24808: How do you find the value of x for Isosceles Triangles?
Click here to see answer by rapaljer(4667)

Question 25005: The triangles are similar, find the missing side. 2/3=4/6=5/x, the missing side is x.
Click here to see answer by stanbon(57219)

Question 25087: what is the area of a triangle that has a base of 3.3 cm and a height of 9.2 cm?
Click here to see answer by wuwei96815(245)

Question 25166: If I know a & b of right angle tringle what is forula to find c
Click here to see answer by rapaljer(4667)

Question 25604: if the hypotenuse of a right triangle is 10 units and the legs are 5 and 5^3units, what are the sin,cos,and tan of the smallest angle?
Click here to see answer by pwac(253)

Question 25896: Find the lengths of the medians of the triangle with verticies A(1,0), B(3,6) AND C(8,2). (A median is a line segment from a vertex to the midpoint of the opposite side)
Click here to see answer by venugopalramana(3286)

Question 26185: a landscape architect designed a flower bed in a shape of a triangle with side lengths 12,14,15.the architech needs to know the area of the flower bed.
My Notes to you: it shows a triangle. base is 14 and the sides are 13 and 15. with a line down the middle.
I belive Im suppose to use the pangerium therom
All I need to know how to find the height.
Ive tried to split 14 in different ways but the height is not the same on both sides
Thanks for all the help!!!
Click here to see answer by Earlsdon(6287)

Question 26340: The triangle A (lower left hand corner of the triangle) B (lower right hand corner) C (top of triangle) =ABC, is an equilateral triangle where each side of the triangle is 6. What is the height of h if h is the dotted vertical line down the center?
I am having a hard time trying to copy and paste the triangle with my question. Hopefully, you can imagine what I am trying to say. The picture looks like an equilateral triangle w/ a dotted vertical line down the middle. The three sides of the triangle is 6 and the three points of the triangle is ABC.
Thanks,
Kristin
Click here to see answer by venugopalramana(3286)

Question 26341: Show that for two right angles, if the hypotenuse and leg of one are congruent to the hypotenuse and the leg of the other, then the two triangles are congruent.
Click here to see answer by venugopalramana(3286)

Question 26385: In a right triangle the hypotenuse is usually labeled c and the legs are a and b.Find the missing side in each of the following.If the answer is not exact, express it to the nearest tenth.
a=7 b=? c=25
Click here to see answer by uknouluvme89(30)

Question 26384: In a right triangle the hypotenuse is usually labeled c and the legs are a and b.Find the missing side in each of the following.If the answer is not exact, express it to the nearest tenth.
a=7 b=? c=25
Click here to see answer by elima(1433)

Question 26381: If the right triangle the hypotenuse is usually labeled c and the legs are a and b.Find the missing side in each of the following.If the answer is not exact, express it to the nearest tenth.
a=7 b=? c=25
Click here to see answer by elima(1433)

Question 27225: Fidn the measures of two complementary angles, angle A and angle B, if the measure of angle A = 7x+4 and the measure of angle B = 4x+9.
Thanks!
Click here to see answer by jb007mi6(53)

Question 27223: SUppose angle T and angle U are complementary. Find the measure of angle T and the measure of angle U if the measure of angle T = 16x-9 and the measure of angle U = 4x+3.
Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27222: The measure of an angle is 44 more than the measure of its supplement. Find the measure of the angles.
Thanks!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27456: I need help on similar triangles
Click here to see answer by prabhjyot(164)

Question 27936: What is the surface area of an equilateral triangular prism when the height is 10 and each side is 8? (it's an equilateral triangle )
Click here to see answer by bmauger(101)

Question 28069: a right triangle has a hypotenuse of 6 and a perimiter of 14. find the area of the triangle. Explain how you got your answer plaese.
Click here to see answer by Paul(988)

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