Questions on Geometry: Triangles answered by real tutors!

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Question 327155: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base?

Click here to see answer by Fombitz(32388)

Question 327934: prove that sin(B+2C)+sin(C+2A)+sin(A+2B)=4sin(B-C/2)+sin(C-A/2)+cos(A-B/2).
Click here to see answer by Fombitz(32388)

Question 328006: if the measures of angles of an triangle in the ratio of 1:2:3, and if the perimeter of the triangle is 30 + 10 sqrt(3), what is the length of the smallest side ?
Click here to see answer by rapaljer(4671)

Question 328071: Hello I am having a bit of trouble solving this problem and I could use your expertise.Please explain how you got your answer so I can gain a better understanding how to solve these types of problems. Thank you.
Determine whether the triple of numbers can be the sides of a right triangle.
√2 √3 √10
A) Yes
B) No

Click here to see answer by rapaljer(4671)

Question 328144: find the length of the hypotenuse of each right triangle if a and b represent the two legs
a=10, b=24
a=7, b=13
a=6, b=11
Click here to see answer by Edwin McCravy(20054)

Question 328067: Find the measure of the indicated exterior angle.

angle x= (6n - 20)�, angle y = (4n + 47)�, angle z = (170 - n)�
The answers to chose from are:
A) 55�
B) 157�
C) 167�
D) 145�

Click here to see answer by nyc_function(2741)

Question 327986: what would be the area of triangle with a base of 20 meters long and the perpendicular distance from the end of base to the opposite side is 27 meters long.
Click here to see answer by ankor@dixie-net.com(22740)

Question 328346: Which of the following must be true about an obtuse triangle?
a. All its interior angles are obtuse.
b. It has two acute angles.
c. It has exactly one acute angle.
d. It cannot be isosceles.
e. It cannot be scalene.

Click here to see answer by Edwin McCravy(20054)

Question 328360: If 4 cm and 7 cm are the lengths of two sides of a triangle, then what is the length of the third side?
Click here to see answer by Alan3354(69443)

Question 328543: In triangle RST, RS= 2x+10, ST = 3x-2 and RT = (1/2)x +28. if triangle is equiangular, what is the value of x ?
A 2 B 5 1/3 C 6 D 12 E 34
Click here to see answer by nyc_function(2741)

Question 329064: the population of town is 266316 people. the ration between male and female of the town is 4:5. find the number of male and female.
Click here to see answer by JBarnum(2146)

Question 329065: A father divides among his four sons a sum of Rs. 2, 23,412.00 by giving his first son 40%, Second son 30%, the third son 20% and the fourth son 10%. how much money each of them got.
Click here to see answer by mananth(16946)

Question 329082: WHAT ARE THE MEASURES OF THE THREE TRIANGLE MNP?
Click here to see answer by Fombitz(32388)

Question 329052: Copy and supply a proof.
Given: The figure with PQ = RS.
Prove: PR = QS.
Click here to see answer by vksarvepalli(154)

Question 329201: The three angles of a triangle have measures 12x�, 3x�, and 7y�, where 7y > 60. If x and y are integers, what is the value of x?
Click here to see answer by solver91311(24713)

Question 329061: what would be the area of triangle with a base of 20 meters long and prependicular distance from the end of base to the opposite side is 27 meters long.
Click here to see answer by nyc_function(2741)

Question 329380: In trangle ABC, the measure of angle B is 15 degree more than three times the measure of angle A. The measure of angle C is 45 degree more than the measure of angle A. Find the mesaure of each angle. ?
Click here to see answer by mananth(16946)

Question 329520: degree is 37 and the adjacent side is 9 cm

Click here to see answer by nyc_function(2741)

Question 329728: 1) the lengths of the three sides of a rigt angled triangle are x-2, 2x, and x+6. x+6 is the longest side of the triangle. what is the length of the shortest side of the triangle?
2) th diference betwen two positive number is 3. the difference between their reciprocals is 1/90. what are the two numbers? (Note: the reciprocal of x is 1/x)
Click here to see answer by Alan3354(69443)

Question 329950: does the measurements 7 inches, 8 inches, and 13 inches for a triange?
Click here to see answer by checkley77(12844)

Question 330002: The base of a traingle is 1/3 as long as its height. If the area is 24 square meters, how long is its base?
Click here to see answer by mathslover(157)

Question 330179: A triangle has 3 sides, represented by the following expressions:
Side 1: 2x � 1
Side 2: 3x + 7
Side 3: x + 3
Write an algebra expression representing the perimeter of the triangle.

Click here to see answer by Fombitz(32388)

Question 330096: The area of one triangle is 36 one of the side length is 7 and the angles are 50, 60, 70 . In second triangle one of the side length is 14 and the angles are 50, 60, 70 . what is the area of second triangle ?

Click here to see answer by Fombitz(32388)

Question 330266: the base of a triangle is 6 meters less than the height. the area is 12 meters squared. find the base and the height of the triangle.
Click here to see answer by stanbon(75887)

Question 330530: each of the equal angles of an isosceles triangle measures 25 less than twice the vertex angle. find the measure of the vertex.
2(2x-25)+x=180
4x-50+x=180
5x-50=180
+50 +50
5x=230
/5 /5
x=46
2(46)-25=67 does not equal 180 when put back into equation
Click here to see answer by mananth(16946)

Question 330754: (p/4)-(3p/8)=4 solve the equation.
Click here to see answer by nyc_function(2741)

Question 330754: (p/4)-(3p/8)=4 solve the equation.
Click here to see answer by stanbon(75887)

Question 330884: If the measures of the three angles of a triangle are x,2x-20, and 3x-10, then what is this type of triangle?Why?
Click here to see answer by mananth(16946)

Question 330897: If <1 and <2 are complementary angles, and m<1=5x-9 and m<2=4x, find the measure of the two angles
Click here to see answer by jrfrunner(365)

Question 330934: if ab+bc=18, then the perimeter of triangle ABC is equal to what
Click here to see answer by Fombitz(32388)

Question 330992: The hypotenuse of a right triangle is 32 feet long. One leg is 2 feet longer than the other. Find the length of the shorter leg. Round your answer to the nearest hundredth.
Click here to see answer by Earlsdon(6294)

Question 331030: in the right triangle, the ratio of the measures of the two acute angles is 4:1. what is the measure in degrees, of the larger acute angle?
Click here to see answer by checkley77(12844)

Question 330744: A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 15 feet by 23 feet and the of the rug is 240 square feet, jpow wide will the border be?
Click here to see answer by ankor@dixie-net.com(22740)

Question 331522: Draw an isoscles triangle with a perimeter of 6x+2y.
Click here to see answer by JBarnum(2146)

Question 331516: TriangleABC and Triangle DAC are two isosceles triangle with angle BAC=20 and angle ADC=100.Show that AB=BC+CD.
Click here to see answer by Edwin McCravy(20054)

Question 331441: Angles of a triangle. The second angle of a triangular building lot is three times as large as the first. The third angle is 10� more than the sum of the other two angles. Find the measure of the third angle.
Click here to see answer by rfer(16322)

Question 331766: we have a pile of dirt with the measurements of 26 ft wide base, 100 ft long, and 8 ft high, how do we measure this and turn it into cubic yards, this is more of a right triangle than triangle
Click here to see answer by mananth(16946)

Question 331853: What is the length and width of a rectangle if the hypotenuse is 24 inches?. The ratio of width to height is 16:9.
Click here to see answer by checkley77(12844)

Question 331833: One leg of a right triangle is twice the length of the other. The hypotenuse is 8 m long. Find the length of each leg. Report your answer to the nearest tenth of a meter.
Click here to see answer by checkley77(12844)

Question 332081: Angles of a triangle. The second angle of a triangular kite is four times as large as the first. The third angle is 5� more than the sum of the other two angles. Find the measure of the second angle.
Click here to see answer by rfer(16322)

Question 332234: the perimeter of an isosceles triangle is 72 inches. the opposite side of the vertex is 18 inches what is the length in inches of the other two sides?
Click here to see answer by jim_thompson5910(35256)

Question 332266: Triangle ABC has vertices A (-5, 4), B (1, -2) and C (3, 6),
(a)Write the equation of the line of which AB is a segment.
(b)Write the equation of the line of which the altitude to line AC is a segment.
(c)Write the equation of the perpendicular bisector of line AC.
(d)Find the perimeter of triangle ABC.
Click here to see answer by D'Leeter(4)

Question 332206: In triangle ABC, the length of each side is an integer and AB < BC < AC. If the
perimeter of triangle ABC is 12, what is the smallest possible length of side AB?
Click here to see answer by edjones(8007)

Question 332243: what is the length of the base if the height is 5 less than the base and the area of the triangle is 21?
Click here to see answer by nyc_function(2741)

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