Questions on Geometry: Triangles answered by real tutors!

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Question 922868: If you have a triangle and two sides are 18 and 12 and another triangle with two sides of 9 and 6
Are the triangles similar? Write a similarity statement.

Click here to see answer by josgarithmetic(39613)

Question 922882: side e= 52 side f=41 angle F=48
find all possible measures of angle E to the nearest degree
I know you must use the rules for an ambiguous cases. I have figured out all of the information I just need to know if it has one, two, or zero solutions. I believe it is one but I am not sure. I worked out that angle D is 61.52, angle E is 70.48, angle F is 48. I also know side e is 52, side f is 41, and side d is 48.49. Please tell me if it has 1,2, or 0 solutions. please & thank you!
Click here to see answer by stanbon(75887)

Question 922927: given only the area of a right triangle, what is the formula for determining possible solutions for side dimensions? Thanks
Click here to see answer by richard1234(7193)

Question 922924: The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?
Click here to see answer by MathLover1(20849)

Question 922962: 1. A triangle has an area of 5 square inches and a base of 2x. What is the height of the triangle in terms of x? 2. A rectangle has an area of 70 square inches and a width of 3.5w. What is the the length of the rectangle in terms of w?
I don't understand these, as my teacher did not explain them. I would like to know how to do them, so, if possible, please provide steps. Thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 923208: Find the perimeter of the triangle with vertices a(4,-1), b(3,1) and c (-4,-2).
Click here to see answer by MathLover1(20849)

Question 923336: ΔABC is an isosceles triangle in which angles B and C are congruent. If m∠B = (2x + 16)� and m∠C = (3x - 11)�, find the measure of angle A.
Click here to see answer by ewatrrr(24785)

Question 923512: Given that A = 42�, B = 56�, and a = 7, solve triangle ABC.

Click here to see answer by Fombitz(32388)

Question 923629: If there is a triangle which has sides of 60, 80 and 100 for lengths and you split the triangle so that it creates 2 right triangles (separating the triangle on the 100 length side) what would be the lengths of the 4 new sides which have been created?
Click here to see answer by Theo(13342)

Question 923854: If the measures of the angles of a triangle are in the ratio of 2:3:5, then the expressions 2x,3x, and 5x represent the measures of these angles. What are the measures of these angles?
Options:
36�, 54�, 90�
54�, 60�, 66�
50�, 65�, 65�
or
30�, 60�, 90�

Click here to see answer by ewatrrr(24785)

Question 923853: The measure of one of the acute angles in a right triangle is 59�. What is the measure of the other acute angle?
Options:
31�
121�
62�
OR
59�

Click here to see answer by ewatrrr(24785)

Question 923851: Classify ΔSVU by its angles and sides.
http://my.thinkwell.com/questionbank/95001-96000/95575/img/238158.jpg
Click here to see answer by MathLover1(20849)

Question 923883: what is the size of a triangle if the total area is 1.5 acres . What are the measurements of it's sides? thanks
Click here to see answer by Alan3354(69443)

Question 923913: The angle of depression to an offshore boat from the top of a 180-foo cliff is 15 degrees. About how far is the boat from the foot of the cliff? Round to the nearest foot.
Click here to see answer by Alan3354(69443)

Question 923850: Classify ΔPQS by its angles and sides.
http://my.thinkwell.com/questionbank/95001-96000/95573/img/238156.jpg
Click here to see answer by Alan3354(69443)

Question 923911: In an isosceles triangle, the base is 30 centimeters long and the legs are each 17 centimeters long. Find the measure of a base angle to the nearest degree.
Click here to see answer by ewatrrr(24785)

Question 923849: Classify ΔSTU by its side lengths.
http://my.thinkwell.com/questionbank/95001-96000/95567/img/238150.jpg
Click here to see answer by MathLover1(20849)

Question 923848: Classify ΔLMN by its angle measures.
http://my.thinkwell.com/questionbank/95001-96000/95569/img/238152.jpg
Click here to see answer by MathLover1(20849)

Question 923963: solve trigonometric identity. Pick only one side to solve. tan^2x-sinx^2=sin^2xtan^2x
Click here to see answer by josgarithmetic(39613)

Question 924086: how to find the length of a leg of an isosceles triangle is twice the length of the base. what is the minimum length of the base of the perimeter is at least 20?
Click here to see answer by ewatrrr(24785)

Question 924109: How do you prove the identity by choosing one side to solve: cot^2(x)+sec^2(x)=tan^2(x)+csc^2(x)?
Click here to see answer by MathTherapy(10549)

Question 924417: Mailo has a 100cm stick. He would like to cut into 3pieces in the ratio of 2:3:5. What is the length of the longer piece?
Click here to see answer by Fombitz(32388)

Question 924440: If x = 22 inches, y = 11 inches, z = 7 inches, and the triangle is a 45�-45�-90� triangle, then what is the approximate perimeter of the sign?
Click here to see answer by Alan3354(69443)

Question 924439: In a right triangle, the perimeter is 70, and the sum of the squares of the sides is 1682. Find the lengths of the three sides. Thanks for your help.
Click here to see answer by rothauserc(4718)

Question 924206: Find the lengths of all three sides of a right triangle that has perimeter 28 and has a 36 degree angle.
Click here to see answer by Fombitz(32388)

Question 924572: Does side lengths 4, 7, 10 form a triangle? Why or why not?
Click here to see answer by Alan3354(69443)

Question 924575: 5x-6+3x=180
Click here to see answer by jim_thompson5910(35256)

Question 924677: Find the ratios of corresponding sides in these triangles. Are the triangles similar? Explain why.
Triangle A:6 cm,8 cm,10 cm
Triangle B:9 cm,12 cm,18 cm
Click here to see answer by MathLover1(20849)

Question 924878: 1. In isosceles triangle LKM, with vertex angle K (figure shown below), answer the following questions:

a. If LK = 2x � 10, KM = 24 and LM = 12, solve for x.

b. If angle K = 40�, find the measure of angle L.

(5 points)
Score
2. In triangle PQR, if PQ = 21 cm and QR = 5 cm, then answer the following questions.
a. Is it possible to have PR = 20?
b. Is it possible to have PR = 26?
c. What are the possible lengths for PR ?
3. Determine the method that could be used to show the triangles ABC and CDA are congruent (SSS, SAS, ASA, AAS or Not Congruent):
a.
b.
c.

Click here to see answer by MathLover1(20849)

Question 924923: (sec(x)-cos(x))(csc(x)-sin(x))=tan(x)/1+tan^2(x) please prove the identity,. do only one side please & thank you!
Click here to see answer by Edwin McCravy(20054)

Question 924947: The base of a triangle exceeds the height by 8 cm. If the area is 304.5 square cm, find the length of the base and the height of the triangle.
Click here to see answer by stanbon(75887)

Question 924951: Find the perimeter and area of a right triangle with a base of 6cm, height of 8cm, and hypotenuse of 10cm is

Click here to see answer by Alan3354(69443)

Question 925040: In triangle abc, the measure of angle b is ten more than angle a and an exterior angle at vertex c measures 120. What is angle a?
Click here to see answer by brysca(112)

Question 925040: In triangle abc, the measure of angle b is ten more than angle a and an exterior angle at vertex c measures 120. What is angle a?
Click here to see answer by stanbon(75887)

Question 925017: if the length of side a is 12 centimeters m
Click here to see answer by MathLover1(20849)

Question 925278: If one side of a triangle is given as 6x-27 degrees, and another side is given as 4x+7, while the third side does not show a measure, how do I find x?
Click here to see answer by ewatrrr(24785)

Question 925328: An isosceles triangle has two sides measuring 62 cm each, and a perimeter of 2.09 m what is the length of the third side
Click here to see answer by TimothyLamb(4379)

Question 925333: An isosceles triangle has two sides measuring 62 cm and a perimeter of 2.09 m what is the length of the third side
Click here to see answer by TimothyLamb(4379)

Question 925202: the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles of the triangle.
Click here to see answer by KMST(5328)

Question 925761: Calculate the perimeter of a right triangle where the legs are 6cm and 8cm
Click here to see answer by ewatrrr(24785)

Question 925716: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm, what is the length of the longest side?
Click here to see answer by richard1234(7193)

Question 925765: What is the total amount of edging that would required to cover all edges of the rectangular prism measuring 10 cm by15 cm by 30 cm
Click here to see answer by ewatrrr(24785)

Question 925771: In triangle ABC, a = 50 cm, b = 24 cm, and c = 30 cm. Find the largest angle, rounded to the nearest degree.
Click here to see answer by Alan3354(69443)

Question 925921:
Click here to see answer by Alan3354(69443)

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