Questions on Geometry: Triangles answered by real tutors!

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Question 451858: What is the area of triangle with a base of 6 units and a height of 9 units?
Click here to see answer by pedjajov(51)

Question 452110: Hello :)
I'm struggling with this question and need some guidance to it. I can solve it on my own but I don't know the formula or the steps very well.
In triangle APS, a = 14.3, p = 19.2, and m < S = 72.4°. Find m < P to the nearest tenth.
I drew it on paper and all for ideas but I need help please and soon.
Thank you very much.
Click here to see answer by Alan3354(31538)

Question 452054: Verify that the points (0,0),(a,0) and (a/2, square root symbol "I don't know how to type it in", with 3a/2 in it, are equilateral triangles. Then show that the midpoints of the three sides are the vertices of a second equilateral triangle.
Click here to see answer by MathLover1(6815)

Question 451736: How do you find the area of a triangle when the problem only gives you the length of the shorter side? In this case they gave me the number 9 as the length of the shorter side.
Click here to see answer by richard1234(5390)

Question 452150: if 2 sides of a triangle measure 12 cm and 7 cm which of the following cannot be the perimeter of the triangle?
29 cm
34 cm
37 cm
38 cm
Click here to see answer by edjones(7569)

Question 452350: In a right triangle if the length of the hypotenuse is 73 and a leg is 25, find the length of the missing side. If necessary, round to the nearest hundredth
Click here to see answer by confusedgirl81(14)

Question 452457: If tow legs of a right triangle have lengths of 6 and 9,the measure of the acute angle is
Click here to see answer by stanbon(57984)

Question 452472: a right triangle has a leg that measures 5 meters, the angle at the intersection of that same leg and the hypoteneuese is 35 degrees.... How do you find the measure of the hypoteneuese?
Click here to see answer by nerdybill(7011)

Question 452360: Two similar triangles have perimeters of 18cm and 30 cm. Find the ratio of their areas.
Click here to see answer by ankor@dixie-net.com(15747)

Question 452746: For a triangle with a perimeter of 12 and an area of 7 what are the lengths of the triangles legs?
Is there an equation that relates area and perimeter to give you leg lengths? Or something similar?
Some things I’ve tried:
1: Finding “a” “b” and “c” directly by converting a set of equations into a matrix in row echelon form. The issue is I can’t find a set of linear equations that relate a, b, and c to the triangle.
2: Listing possible solutuions for b and h from the area formula that are also factors of 14. 14 because . This is impossible because there are an infinite number of possibilities. So I went for positive integers [(b:1,2,7,14)(h:1,2,7,14)]. I didn't continue with this train of thought because something else occured to me.
3: When a triangle is split into 2 triangles and the line that splits them is perpedicular to one of the lines it touches then both of the triangles are right triangles. The pythagorian therum works for right triangles. Giving me another equation to work with. I couldn't figure out how to use it though.
4:So I square 14 giving me 196. Factoring 196 into primes gave me (2,2,7,7). I made a chart of the ways these numbers could be combined so when they were multiplied i got 14. This gave me , , and I came to the same problem again as i had with the pythagorean therum; i didn't know how to use the new information.
5: So i went back to the visually drawn triangles and labeled the sides of the original triangle a, b, and c. Then I labeled one of the split triangles sides (the numbers to the right of the letters are subscripts) a1, b1, and c1. The other right triangle was labeled a2, b2, and c2. With the sides labeled i tried to substitute various variables in for each other to see what i could come up with. For example the 2 new triangles both have a side that is equal to (1/2)c from the original triangle so i replace the corresponding variable on the smaller triangle with (1/2)c. I tried many more substitutions like that but none of them yeilded anything I thought I could use.
I am now taking a break from it. And it occurred to me that if there were an equation relating area with perimeter that would be very usefull. Also if there are any other equations that you think might be useful please send those to me as well.
One last thing, please put the things you think might help at the top of the email, and if you know how to solve this kind of problem and include the answer or the "how to" please write something along the lines of "spoiler alert" and skip some lines so it won't be visible. Sorry if i come across as a bit pushy but i really want to figure this one out and then see if i was right.
Click here to see answer by jim_thompson5910(28717)

Question 452776: if two sides of a triangle measure 21 and 22,find the range of possible measures for the third side
Click here to see answer by stanbon(57984)

Question 453018: I have a right triangle with 90 deg, 50 deg and 40 deg angles. The length of leg "a" is 1.5748" runs between the 90 deg and 40 deg angles. What are the lengths of:
Leg "b" between the 90 deg and 50 deg angles?
Leg "c" between the 50 deg and 40 deg angles, the hypotenuse?
Thank you for your help.
Click here to see answer by stanbon(57984)

Question 453120: 1.Find A for the right triangle if c=24 and b=30. Round to the nearest tenth.
How would I find big A?
2.Find the values of the six trig. finctions for an angle in standard position if the point (1,2) lies on its terminal side. Answer as a fraction in simplest form.
3.Find the area of the triangle given by: A=43, b=16, and c=12. Round to the nearest tenth.
How to I do these?
Click here to see answer by stanbon(57984)

Question 453127: If a right triangle has legs of 6 cm and 8 cm, then the hypotenuse is ?
Click here to see answer by nerdybill(7011)

Question 453165: Charlie uses the function f(x) = 2x2 + 5x + 3 to track the temperature of a substance, where x represents the time. When you evaluate f(5) you find that the temperature of the substance is 78°C. What is the domain of the situation of Charlie's quadratic function?
Click here to see answer by stanbon(57984)

Question 453347: explain why the lengths 5cm, 10 cm and 20 cm could not be used to make a triangle.
Click here to see answer by josmiceli(9819)

Question 453406: In a right triangle the two legs are each 5 less than the hypotenuse. What is the hypotenuse?
Click here to see answer by mananth(12270)

Question 453418: I need help finding the missing sides for A and B, When the hypotenuse is 15. It is an isosceles right triangle.
Click here to see answer by stanbon(57984)

Question 453632: In isosceles triangle ABC, B is the vertex. The measure of angle B. can be represented as (2x+12). The measure of angle A. can be represented as (4x-1). Find the measure of all three angles of the triangle. Be sure to name the angle with it’s measurement (ex: angle A= ).
Click here to see answer by poliphob3.14(115)

Question 454083: a parallelogram has two obtuse angles and two acute angles.if the measure of one of the obtuse angles is 110.what is the measure in degrees of one of the acute angles?

Click here to see answer by richwmiller(9144)

Question 454487: The sides of a triangle have lengths of 9, 11, and16. What is the perimeter of a similar triangle whose longest side is 24?
Click here to see answer by solver91311(17077)

Question 454718: Given a kite with three known side lengths in an algebraic expression,determine the unknown side!
Click here to see answer by richard1234(5390)

Question 454749: Which of the following is NOT a possible length of the side of a square with area less than 17?

Click here to see answer by richwmiller(9144)

Question 454826: I need to find the area of the isosceles triangle with side lengths 12 inches, 25 inches and 25 inches

Click here to see answer by richwmiller(9144)

Question 454886: Which three lengths could be the lengths of the sides of a triangle?
a) 7 cm, 25 cm, 10 cm c) 10 cm, 15 cm, 22 cm
b) 20 cm, 5 cm, 10 cm d) 15 cm, 9 cm, 24 cm
Click here to see answer by scott8148(6628)

Question 454922: How do you solve x/20 = ?/12
Click here to see answer by edjones(7569)

Question 454911: The hypotenuse of a right triangle is 10cm long. The two legs are equal in length. Find the length of each leg. (Round to nearest tenth)
Click here to see answer by Gogonati(817)

Question 455039: find the length of the hypoteneuse of a right triangle if its two legs are 6m and 8m?
Click here to see answer by nerdybill(7011)

Question 455084: • If the angles of a triangle are in the ratio of 2:3:5, what is the measure of the smallest angle?
Click here to see answer by Alan3354(31538)

Question 455215: if the area of an isosceles right triangle is 36mm^2, what is the perimeter?
Click here to see answer by richwmiller(9144)

Question 455332: Graph a rectangular solid that contains the point R (-1, 3, 2) and the origin as vertices. Label the points of each vertex.
Click here to see answer by ilana(307)

Question 455483: The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If its perimeter is 52 cm, the length of
the smallest side is :
(A) 9 cm (B) 10 cm (C) 11 cm (D) 12 cm
Click here to see answer by edjones(7569)

Question 455533: If I have a 30-60-90 triangle, and the length of the hypotenuse is 16 yards WHat would be the other two sides?
Click here to see answer by stanbon(57984)

Question 455542: If I have a 30-60-90 degree triangle and I am only given the longer side length, (not the shorter side length or the hypotenuse) and that side length is 9, how would i figure out what the hypotenuse and shorter side length are?
Click here to see answer by richwmiller(9144)

Question 455217: Fill in the blank. If the shortest leg of a 30-60-90 triangle has length 11, the length of the hypotenuse is 28, what is the units of the third side?
Click here to see answer by richwmiller(9144)

Question 455572: Isoscles triangle ABC has vertices A(-1,1), B(1,5), and C(3,1) What is the equation of the perpendicular bisector of line segment BC?
Click here to see answer by stanbon(57984)

Question 455621: find the length of the hypotenuse, to the nearest tenth of a centimeter, of a right triangle if one angle measures 70 degrees and the adjacent leg measures 8 cm?
Click here to see answer by Alan3354(31538)

Question 455636: what is the hypotenuse of a triangle with degrees of 34 and 56 and a length of 20

Click here to see answer by Alan3354(31538)

Question 455689: in triangle abc, measure of angle a is x and measure of angle b is 2x+1 and measure of angle c is x+15. what is the measure of the largest angle? I really don't understand.
Click here to see answer by rfer(12731)

Question 455886: A room has a shape of a right triangle. One of the legs of the triangle is one meter longer than the other. The perimeter of the room is 12 meters. What are the lengths of the three sides?
Click here to see answer by richwmiller(9144)

Question 456270: Two sides of a triangle are 8 and 13. Which of the following could be the measurement of the third side?
Given a triangle with sides of 7, 9 and x, which of the following describes the range of values for the third side of the triangle?
Click here to see answer by katealdridge(100)

Question 456271: 12. What is the approximate value of x in the diagram below, to the nearest tenth?
The diagram is a right triangle with the base = 10, the hypotenuse is x, and the angle opposite of the right angle = 52 degrees.
Click here to see answer by katealdridge(100)

Question 456342: is a figure with side lenghts 5,5,10 a triangle?
Click here to see answer by Alan3354(31538)

Question 456342: is a figure with side lenghts 5,5,10 a triangle?
Click here to see answer by solver91311(17077)

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