# Questions on Geometry: Geometric formulas answered by real tutors!

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 Geometric and Other Formulas Answers archive In Depth

 Question 356269: Can you help me find the length of the unknown side of a triangle where- a is unknown, b is 182 and c is 295? Click here to see answer by ewatrrr(10682)
 Question 356269: Can you help me find the length of the unknown side of a triangle where- a is unknown, b is 182 and c is 295? Click here to see answer by vleith(2825)

 Question 356437: find the area of a rectangle with one side 5 km and the other side 3 km. Click here to see answer by edjones(7569)

 Question 356855: When a plane flies directly from New York to London and then to Nairobi and back to New York, it flies along the sides of a spherical triangle, approximately following the surface of Earth. On a sphere, the shortest path between two points is along an arc of a great circle. A great circle is obtained when a plane through the center of the sphere intersects the sphere. (An example of a great circle is the equator.) To obtain a great circle through two given points on the sphere, we need consider only a plane through the two points and the center of the sphere. A spherical triangle consists of three points on the sphere and arcs of great circles (the shortest path) connecting the points. a. How many great circles go through the North Pole and the South Pole on the globe? b. Describe a spherical triangle that has one vertex at the North Pole and the other two vertices on the equator. c. Is there a spherical triangle with three right angles? If so, find one. Click here to see answer by Alan3354(30993)

 Question 359360: To find the height of a tree a group of girlsscouts devised the following method. A girl walks towards the tree along its shadow until the shadow of the top of her head coincides with the shadow of the top of the tree. If the girl is 150 cm tall, her distance to the foot of the tree is 15 m, and the lenght of her shadow is 3 m, how tall is the tree? Click here to see answer by stanbon(57424)

 Question 360098: Suppose the equation of a line contains the point (-3,1). Then when y= -3, x= 1. Is this always true, sometimes true, or never true? Click here to see answer by vleith(2825)

 Question 360213: If grass grows at the rate of 6 inches per week, how many feet per hour does it grow? Click here to see answer by checkley77(12569)

 Question 364011: Two spherical cantaloupes of the same kind are sold at a fruit and vegetable stand. The circumference of one is 60 cm and that of the other os 50 cm. The larger melon is 1.5 times as expensive as the smaller. Which mellon is the better buy? Click here to see answer by Alan3354(30993)
 Question 364011: Two spherical cantaloupes of the same kind are sold at a fruit and vegetable stand. The circumference of one is 60 cm and that of the other os 50 cm. The larger melon is 1.5 times as expensive as the smaller. Which mellon is the better buy? Click here to see answer by robertb(4012)

 Question 364223: Who do I solve the perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the width of the rectangle. Click here to see answer by ankor@dixie-net.com(15667)

 Question 369218: Prove the Right Angle Theorem: All right angles are congruent. Given: Angle 1 and Angle 2 are right angles. Prove: Angle 1 is congruent to angle 2 Click here to see answer by acalgebra(30)

 Question 354166: find the area of a square if sides measure 24 cm Click here to see answer by chawki(6)

 Question 370505: What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90 degree rotation counterclockwise? Click here to see answer by Edwin McCravy(8924)
 Question 370505: What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90 degree rotation counterclockwise? Click here to see answer by stanbon(57424)

 Question 375096: In a school with a population of 1560, 5 out of 12 of the students are not living in the district where the school is. How many of the students live in the district where he school is? Click here to see answer by solver91311(16897)

 Question 375108: ABC is isosceles with base BC. If AB = 3x + 1 cm, AC = 2x + 5 cm and BC = x + 11 cm, find the perimeter of ABC. Click here to see answer by Fombitz(13828)

 Question 376109: find the angles between the lines A, x+2y=2 and 2x+4y=4 b,x+y=5 and x-y=4 c, x+2y=2 and 2x+y=3 2 find the distance between the lines a,3x+2y=5 and -3x-2y=6 b, 5y=x and y=5x Click here to see answer by Alan3354(30993)

 Question 377035: A triangle has two sides that have lengths of 8 cm and 14 cm. Which of the following lengths could not represent the length of the third side? 7 cm 15 cm 18 cm 22 cm Click here to see answer by Jk22(389)

 Question 377865: find the three geometric means between 3 and 3/16.? Click here to see answer by stanbon(57424)

 Question 379853: Here are the coordinates to a triangle A(0,0) B(12,6) C(18,0) I need to find the orthocenter. I keep getting the wrong answer can you solve it and explain Click here to see answer by Edwin McCravy(8924)

 Question 381431: State the formula for the area of equilateral triangle Click here to see answer by robertb(4012)

 Question 383396: Find the shaded area in the following figure if the rectangle inscribed in the circle has dimensions 3ft x 4ft. The corners of the rectangle are touching the circle. Click here to see answer by solver91311(16897)

 Question 384084: Carrel Brady invests \$500 in an account that earns 4.28% compounded continuously and \$1000 in an account that earns 5.20% compounded quarterly. Use graphical approximation methods to determine how long it will take for his total investment in the two accounts to grow to \$3000. Click here to see answer by Theo(3472)

 Question 384573: If you know the length of two sides of a triangle and the measure of each of the angles, how do you figure out the length of the third side? Click here to see answer by richard1234(5390)

 Question 386003: the supplement of an angle that measures 155 degrees is? Click here to see answer by nerdybill(6963)

 Question 387478: B is between A and C. AB=2x-4 BC=7x+5 AC=82 What is the value of x? Click here to see answer by tara0066(31)

 Question 387488: M is the midpoint of. Find the coordinates of B given A(7,-2) and M(10,10). Click here to see answer by rfer(12678)

 Question 387760: Find the sum of the infinite geometric series, if possible. 140 + 70 + 35 + . . . Click here to see answer by MathLover1(6649)

 Question 387761: Find the sum of the infinite geometric series, if possible. 120 + 60 + 30 + . . . Click here to see answer by Earlsdon(6291)

 Question 388334: The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1 what I got is 0+x2/2 , 0+y2/2 = (x2/2 , y2/2) I don't know how to do the rest please show me step by step. Thank you! Click here to see answer by jim_thompson5910(28598)

 Question 388356: I need help with this problem please. A has coordinates (x1,x2) B (x2,y2) M (x1+x2/2 , y1+y2/2) use the distance formula to show that AM= 1/2 AB I tried to solve it but I got sqrt5 for both AM and AB Please show me how to do it step by step. Thank you! Click here to see answer by mananth(12270)

 Question 388491: What is the difference between the angle bisector theorem and the perpendicular bisector theorem? Click here to see answer by solver91311(16897)

 Question 388362: Hi, I need some help in this problem. the vertices of a triangle are A(0,0) B(x1,0) C(x2,y2). M, N are the midpoints of AB,AC. a) write the coordinates of M,N. b) show that MN=1/2 BC I got part a bur i didn't get b. Thank you!!! Click here to see answer by Edwin McCravy(8924)

 Question 389711: How do you solve this formula for the variable (that i put in parenthesis to indicate):V= 1/3B{h} Click here to see answer by richard1234(5390)

 Question 389715: How do you solve this formula for the variable (that i put in parenthesis to indicate): I=p{r}t Click here to see answer by Edwin McCravy(8924)

 Question 391392: 3.) A polygon can be regular if and only if the sides are congruent. (“if and only if” states a condition but does not necessitate it to be the sole condition) true or false? Click here to see answer by solver91311(16897)

 Question 391354: 1. the length of a rectangular soccer field is 10 feet more than twice the width. the perimeter is 320 feet. find the length and width? 2. the second angle of a triangle is 20 degree greater than the first angle. the third angle is twice the second. find the three angles? 3. a piece of wire 35/3 in long is to be divided into two parts such that one part is 2/3 that of the other. find the length of the shorter piece? 4. the perimeter of a triangle is 17 cm. the second side is twice the length of the first side, and the third side is 1cm less than 3 times the length of the first side. what are the lengths of sides of the triangle? 5. the perimeter of a rectangle is 64 feet. the length of the rectangle is 3 ft less than 4 times the width . what are the dimensions of the rectangle? 6. one side of the rectangular metal plate is five times as long as the of the side . if the perimeter is 72 meters, what is th e length of the shorter side of the palte? 7. a rectangular box of cereal contains 252 cubic inches of product. it is 12 inches tall and 7 inches wide. how deep is the box? Click here to see answer by solver91311(16897)

 Question 391589: Sixteen students went on a week-long hiking trip. They brought with them 320 specially baked, protein-rich cookies. What is the ratio of cookies to students? Click here to see answer by edjones(7569)

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