Questions on Geometry: Triangles answered by real tutors!

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Question 1086465: Two vertical poles are connected by a 16 meter rope. The poles are 11 meters and 18 meters tall. To the nearest tenth of a meter, how far apart are the poles? I have a diagram that has the 16 meters on top and the 11m and 18m as sides of a right triangle.
Click here to see answer by josgarithmetic(39613)

Question 1086569: Show that the points (-2,4),(3,-1) and (-1,-3) are the verticles of an isosceles triangle and find its area.
Click here to see answer by Alan3354(69443)

Question 1086580: what is circumference of 110

Click here to see answer by Alan3354(69443)

Question 1086730: How many different isosceles triangle can be drawn with one angle 50� and one side 7cm?

Click here to see answer by Edwin McCravy(20054)

Question 1086753: What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is $2\sqrt{6}$ centimeters?
Click here to see answer by Alan3354(69443)

Question 1086932: Which of the following set of numbers is a Pythagorean triple?
Select one:
a. 5,12,14
b. 8,15,17
c. 4,5,6
d. 8,24,25

Click here to see answer by Boreal(15235)

Question 1086930: A 52-foot guy-wire is attached to a power pole to provide support. The wire is attached to the pole 36 feet above the ground and to an anchor on the ground. How far from the base of the pole is the anchor?
Suppose a triangle has side lengths 6, 7, and 10. Which of the following best describes this triangle?
Select one:
a. right
b. acute
c. a triangle cannot be formed
d. obtuse

Click here to see answer by Boreal(15235)

Question 1086938: The geometric mean of p and q is 42√. If q is 14, find p.

Click here to see answer by Alan3354(69443)

Question 1086938: The geometric mean of p and q is 42√. If q is 14, find p.

Click here to see answer by Fombitz(32388)

Question 1086938: The geometric mean of p and q is 42√. If q is 14, find p.

Click here to see answer by Boreal(15235)

Question 1087043: A rectangle has a 12 cm2 area is inside a right triangle, as shown in the image.

Calculate x and y.
Click here to see answer by ikleyn(52747)

Question 1087243: If each number is rounded to the nearest whole number, which statement is true?
A = 6.3 + 8.3
B = 6.2 + 8.5
A = B
A > B
A < B
Click here to see answer by MathLover1(20849)

Question 1087243: If each number is rounded to the nearest whole number, which statement is true?
A = 6.3 + 8.3
B = 6.2 + 8.5
A = B
A > B
A < B
Click here to see answer by MathTherapy(10549)

Question 1087314:
Click here to see answer by rfer(16322)

Question 1087569: Determine whether triangle PQR is congruent to triangle STU given the coordinates of the vertices. Explain.
P(4,0), Q(2,-3), R(-1,4) --- S(-1,-4), T(1,-1), U(4,6).
Click here to see answer by ikleyn(52747)

Question 1087861: Point P is inside equilateral triangle ABC such that the altitudes from P to AB, BC, and CA have lengths 5, 6, and 7 respectively. What is the area of triangle ABC?

Click here to see answer by rothauserc(4718)

Question 1088317: Right triangle ABC has a right angle at C and hypotenuse length 12. Angle A is pi/6 radians. Please sketch this triangle, including the measures of all angles in degrees and the lengths of all sides. the lengths of all sides must be EXACT!
I have this so far c=12
pi/6 radians= pi/6(180/pi) = 30 degrees
Click here to see answer by Fombitz(32388)

Question 1088410: While horseback riding through the country, Venessa sees some wild flowers in the distance on a hill. She is 35 yards (vertical distance) lower than the flowers. Her distance to the flowers is 225 yards. What is the angle of elevation?

Click here to see answer by Cromlix(4381)

Question 1088409: Lily is standing at horizontal ground level with the base of the Sears Tower. The angle formed by the ground and the line segment from her position to the top of the building is 15.7�. The Sears Tower is 1450 feet tall. Find Lily's distance from the Sears Tower to the nearest foot.

Click here to see answer by Cromlix(4381)

Question 1088411: On this triangle ABC we have a midpoint called BD. If AD=8 and DC=15 fine DB.
Click here to see answer by ikleyn(52747)

Question 1088408: Determine weather triangle QRS is a right triangle for the given vertices. Explain Q(18,13) R(17,-3) S(-18,12)
select one:
a. a. no; QR = sqrt(257), QS = sqrt(1297), RS = sqrt(558) QR2+QS2≠ RS2
b. yes; QR = sqrt(257), QS = sqrt(1297), RS = sqrt(558) RS2+QS2= RQ2
c. yes; QR = sqrt(257), QS = sqrt(1297), RS = sqrt(558) QR2+QS2≠ RS2
d. no; QR = sqrt(257), QS = sqrt(1297), RS = sqrt(558) RS2+QS2≠ RQ2
Click here to see answer by MathLover1(20849)

Question 1088527: In triangle ABC, a=45 degree and angle C=70 degree. Find the side opposite angle A if AB=40 cm.
Click here to see answer by Alan3354(69443)

Question 1088540: The formula for the volume of a right rectangular pyramid is one over three (area of base � height). If a pyramid's volume is 170,000 m3 and the dimensions of the base are 85 m by 75 m, what is the height of the pyramid?
Click here to see answer by ikleyn(52747)

Question 1088575: On a photograph of a triangular piece of land, the lengths of the three sides are 3 centimeters, 5 cm, and 9 cm, respectively. The shortest side of the actual piece of land is 150 meters long. Find the lengths of the other two sides (both the length of the longest side and the middle-sized side).
Thank you for your help!
Click here to see answer by josmiceli(19441)

Question 1088893: solve the right triangle shown in the figure. round length to one decimal place and express angles to the nearest tenth of a degree.
B=37 Degrees
b= 43.5

Click here to see answer by josgarithmetic(39613)

Question 1085139: triangular piece of aluminum foil is 6 meters on a side. the 60 degree sectors of a circle with radius 3 meters are cut from the foil. find the amount of foil not used.
Click here to see answer by Fombitz(32388)

Question 1089342: use a sketch to find exact value of the expression.
cos(tan^-1 5/4)
Click here to see answer by Alan3354(69443)

Question 1089361: Find the range of possible measures of x if each set of expressions represents measures of the sides of a triangle.
x+2,x+4,x+6
Thank you very much. God bless you.
Click here to see answer by KMST(5328)

Question 1089409: one side of triangle is one-third the longest side. the third side is 8 feet less than the longest side. the perimeter is 62. find all three sides
Click here to see answer by ankor@dixie-net.com(22740)

Question 1089453: Find the area of triangles with vertices at the points
(i) (2,1),(2,2),(-1,4)
(ii) (0,5),(-4,1),(-6,3)
Click here to see answer by Alan3354(69443)

Question 1089710: In triangle ABC, the angles A and B have the same measure, while the measure of angle C is 63 degrees larger than the measure of each of A and B. What are the measures of the three angles?
Thank you for your help!
Click here to see answer by math_helper(2461)

Question 1089805: If P(0, 5), Q(4,4) and R(3, 8) are the vertices of a triangle PQR, find the tangent of angle RPQ
Click here to see answer by ikleyn(52747)

Question 1090170: The perimeter of a triangle below is 75m
AB: 2x - 9 BC: 3x + 4 AC: 2x + 3
What is the measure of each side of the
triangle?

Click here to see answer by MathLover1(20849)

Question 1090412: Two Sides of a triangle are AB=34cm and AC=25cm and their included angle measures 62 degrees
1 Find the area
2 Find the measure of the third side BC
3 Find the Acute angle that the median drawn to AB makes with it
4. An angle bisector bisecting B divides the opposite side AC into 2 segments. Find the lengths of these 2 segments.
5 Find the distance from the orthocenter to side AB
Click here to see answer by Fombitz(32388)

Question 1090569: in a triangle ABC is anisoceles triangle [AB]=[AC] =5cm and [BC] 8cm calculate to the nearest degree,
Click here to see answer by Fombitz(32388)

Question 1090962: The sides of a triangle are in the ratio of 2:3:4.If the shortest side measures 6cm.Find its perimeter.
Click here to see answer by josmiceli(19441)

Question 1090974: If the cost price of 11 shirts is equals to the selling price of 10 shirts.Find the profit or loss%.
Click here to see answer by josmiceli(19441)

Question 1090963: The sides of a triangle are in the ratio of 2:3:4.If the shortest side measures 6cm.what is the perimeter of triangle?

Click here to see answer by Edwin McCravy(20054)

Question 1090989: Hi, so I'm working on some geometry problems and this question has me really stuck, if you could help me, it would be great.
Problem:
The sides of an isosceles triangle are 17, 17, and 16. From any point, P, on the base, draw a line perpendicular to the base that intersects one of the equal sides of the triangle at R. Label the point Q where the line intersects an extension of the third side of the triangle. Find the sum of PQ+PR.
Thanks in advance.
Click here to see answer by greenestamps(13195)

Question 1091227: What is the side length of an equilateral triangle whose area is radical 3 cm squared?
Click here to see answer by Alan3354(69443)

Question 1091404: Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle.
a = 240
b = 123
c = 207
Click here to see answer by Boreal(15235)

Question 1091484: Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
A = 48�, b = 30 ft, c = 14 ft

Show your work please so I can understand.
Click here to see answer by rothauserc(4718)

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