Questions on Geometry: Triangles answered by real tutors!

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Question 61685: ABCD is a square. Point A has co-ordinates (2,4) and the line ODC has equation y=x.
find the equation of line AD
find the co-ordinates of point D
find the area of square ABCD
Click here to see answer by josmiceli(9671)

Question 61867: There is a meteor shower. One meteor appears at A(7,8) and disappears at B (1,4).
Calculate the gradient of the meteor's flight path.
calculate the acute angle between the flight path and the horizon (OX) correct to the nearest degree.
A second meteor, on a parallel path, starts at C(6,2) and disappears below the horizon at D. Find the co-ordinates of D.
Click here to see answer by josmiceli(9671)

Question 61866: The vertices of a triangle are P (-1,-1) Q(2,1) and R (3,-1). Find the equation of the altitude of the triangle PQR from Q.
Click here to see answer by checkley71(8403)

Question 62489: the second angle of a triangle is two times as large as the first. the third angle is 10 degrees more than the second angle. find the measure of the first angle
Click here to see answer by funmath(2925)

Question 62891: jack has a triangular room that needs carpeting. how much carpeting will he need if the hypotenuse and one of the legs measures 24feet and 30 feet respectively? show your work. thank you
Click here to see answer by praseenakos@yahoo.com(507)

Question 63102: The sum of the base and the height of a triangle is 20cm. Find the dimension for which the area is a maximum
Click here to see answer by checkley71(8403)

Question 63132: "In the triangle ABC, measure of angle A= 60 degrees and the measure of angel C = 80 degrees. The exterior angle at B measures(x+10).
What is the value of x?"
Show all work!!!
Click here to see answer by stanbon(57307)

Question 52778: Hello. Thank you for volunteering. I have a simple trigonometry problem. If I can find the answer WITHOUT USING A SCIENTIFIC CALCULATOR (ie: cosine or sine buttons), it will help me greatly to become independant of electronic devices on my sailboat. Here it is: In a right triangle, if I know the length of the hypotenuse, and all three angles are known, what is the formula for finding the length of either of the other 2 sides? Standard labelling please... c=hyp,a=vertical side, b=horizontal side, angle A opposite side a, B opposite b, C opposite c. Thanks again. ray.
Click here to see answer by stanbon(57307)

Question 64167: In right triangle ACB (C is the right angle) CD is an altitude (D is between A and B). If AD=x^2 and BD=y^2, use Geometric Mean Theorems to find AC, BC, and CD interms of x and y (assume that x and y are positive)
Click here to see answer by venugopalramana(3286)

Question 64166: Prove that ((AC)^2/(BC)^2)=(AD/BD) In right triangle ACB (C is the right angle) with CD as an altitude (D is between A and B)
Click here to see answer by venugopalramana(3286)

Question 64474: The base of an isosceles triangle is 4 in. less than the length of the equal sides. If the perimeter of the triangle is 38 in., find the length of each of the sides.
HELP!!! :)
Click here to see answer by Earlsdon(6287)

Question 64553: In a parking garage,there are 20 feet between each level. Each ramp to a level is 130 feet long. Find the measure of the angle of elevation of each ramp.
Click here to see answer by 303795(595)

Question 64887: How do I find the base of a triangle? The area of the triangle is 200 ft. squared, and the height is 12ft.
Click here to see answer by checkley71(8403)

Question 64933: A triangle has sides 3x + 7, 4x + 9, and 5x + 6. Find the expression
that represents its perimeter.
Click here to see answer by 303795(595)

Question 65141: how do you find the perimeter of a triangle?
Click here to see answer by funmath(2925)

Question 65140: how do you find the area of a triangle
Click here to see answer by funmath(2925)

Question 65139: how do you find the perimeter of a triangle
Click here to see answer by funmath(2925)

Question 65136: Please help! Verify that the points (0, 0) and (a, 0) and (a/2,a/2) form the vertices of a right triangle. Work in terms of a.
Click here to see answer by venugopalramana(3286)

Question 65570: I am going to try to make the triangle out of the diagram shown so I can get some help on it. Here goes nothing:
Find an expression that represents its perimeter:
Long slanted Side 3/4x =
= =
= = 1/x^2 Short side
= =
=======================
5/x^2 Bottom of triangle
Thank you for trying to help me
Click here to see answer by funmath(2925)

Question 64783: In a triangle we have ÐA=60°, ÐB=80° and ÐC=40° we draw median, angle bisector and altitude from vertex A to opposite side(BC). what are the value of all angles that are constructed on vertex A.

Click here to see answer by Edwin McCravy(8908)

Question 65687: Find the perimeter of the triangle:
I will try to draw out the triangle for you:
4
========================
= =
= =
sqrt5-sqrt3 = =
= =
= =
= = sqrt5 + sqrt3
= =
= =
= =
= =
= =
= =
This problem has completely confused me but here goes nothing:
sqrt 5 - sqrt 3 = sqrt2
sqrt 5 + sqrt 3 = sqrt8
sqrt 2 + sqrt 8 = sqrt 10
sqrt 10 + 4 = sqrt 14
Is this the correct process?
Click here to see answer by funmath(2925)

Question 65702: Find the length of X in the triangle. Express in simplified radical form:
Here is a drawing of the triangle:
=
= =
= =
12 = = X
= =
= =
= =
= ====
= = =
= = =
=======================
8
I do not know the process of figuring this out, can anyone help me understand the process and how to get the answer please, thank you.

Click here to see answer by Nate(3500)

Question 65697: Find the length of X, simplify the radical expression:
I will try to draw out the triangle:
=
= =
= =
10 = =
= = X
= =
= =
= ===
= = =
===================
8
These types of problems stump me everytime I try to figure them out. Thank you for the help in advance!

Click here to see answer by funmath(2925)

Question 64611: Verify that the points (0,0) and (a,0) and (a/2,a/2) form the vertices of a right triangle. Work in terms of a.
Click here to see answer by venugopalramana(3286)

Question 65760: Hi, I'm not doing too well in Geometry and I thought you might be able to help...I had this as a homework problem:

Given triangleABC = triangleDEF, DE = 10, EF = 13, DF is 4 more than twice a number and AC is 8 less than 4 times the same number. What is the number?

Thanks!
Click here to see answer by Earlsdon(6287)

Question 65761: Hi, This was an extra credit for my Geometry class (which I'm not doing too well in right now) and I was wondering if you could help.
Thanks so much!!

Choose the answer that makes the following statement true. [Remember: the smallest side is opposite the smallest angle.]

HI ______ CD
a. greater than
b. less than
c. can't determine
d. equal to
Click here to see answer by funmath(2925)

Question 61684: The vertices of a triangle ae P(-1,-1) Q(2,1) R(3,-1). Find the equation of the altitude of triangle PQR drawn from Q.

There is a meteor shower, one meteor appears at A(7,8) and disappears at B(1,4).
calculate the gradient of the meteor's flight path
and the acute angle between the flight path and the horizon (OX) correct to the nearest degree.

A second meteor, on a parallel path, starts at c (6,2) and disappears below the horizon at D, Find the co-ordinates of D.
Click here to see answer by venugopalramana(3286)

Question 65834: Hi, I had this problem for homework and I couldn't get it. THANKS FOR HELPING!!

Find X.

Click here to see answer by Earlsdon(6287)

Question 65834: Hi, I had this problem for homework and I couldn't get it. THANKS FOR HELPING!!

Find X.

Click here to see answer by Cintchr(481)

Question 65834: Hi, I had this problem for homework and I couldn't get it. THANKS FOR HELPING!!

Find X.

Click here to see answer by stanbon(57307)

Question 65880: One angle of a triangle is twice as large as the smallest angle. The measure of the third angle is 20 more than that of the smallest angle. Find the measure of the smallest angle.
Click here to see answer by Earlsdon(6287)

Question 65881: One angle if a triangle is twice another. The third angle is three times the smallest. Find the measure of the smallest angle.
Click here to see answer by Edwin McCravy(8908)

Question 65976: One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find te dimensions of trhe triangle.
Click here to see answer by uma(370)

Question 66216: Triangle ABC and triangle PQR each have two sides whose lengths are 7 inches and an angle whose measure is 40 degrees. Are the triangles congruent?
Click here to see answer by venugopalramana(3286)

Question 66290: Hi. I am helping my girlfriend do her homework and i just cant seem to figure this one out. We did just fine on all the others...but anyway: If the height of a triangle with a base of 8 inches is tripled, its area is increased by 96 square inches. Find the height of the triangle.
Thank you for your help!!! :)
Click here to see answer by Nate(3500)

Question 66378: "Write a two-column proof."
Given: Segment DE is parallel to segment BC.
Prove: Segment AB is congruent to segment AC.
Click here to see answer by venugopalramana(3286)

Question 66377: Isosceles Triangles
Triangles GHM and HJM are isosceles, with segment GH congruent to segment MH
and segment HJ congruent to segment MJ. Triangle KLM is equilateral, and the measure of angle HMK = 50. Find Each Measure.
1. Find the measure of angle KML.

2. Find the measure of angle HMG.

3. Find the measure of angle GHM.

4. If the measure of angle HJM = 145, find the measure of angle MHJ

5.If the measure of angle G = 67, find the measure of angle GHM.

"Thank you all for helping me so much I have struggled in Geometry alot. You make me feel alright at the end of the day with your help."
Click here to see answer by venugopalramana(3286)

Question 66516: The measure of one angle of a triangle is five times that of a second angle, and the measure of an exterior angle at the third vertex is 120 degrees. What is the mesure of each angle of the triangle?
Click here to see answer by checkley71(8403)

Question 66947: A ski slope at a mountain kforms an angle of 30 degrees with the base. If the height of the slope is 1800 feet, what is the length of the ski slope to the nearest foot?
Answer Choices:
A) 900 ft
B) 2078 ft
C) 3118 ft
D) 3600 ft

Click here to see answer by ankor@dixie-net.com(15649)

Question 67110: I have a homework problem of a right angled triangle with a small box in the corner of one corner of the base. The number inside the triangle is 32.
I can not decide if the answer is 116 or 58. Those are my two options.

Click here to see answer by stanbon(57307)

Question 67501: right triangle.the longest side of a right triangle is 3 inches less than twice the shortest side.the third side measures 12 inches.find the length ot the shortest side
Click here to see answer by checkley71(8403)

Question 67680: How do you find the area of a right triangle when the height is not known, and the only angle known is 90 degrees. I know that length of the base is 5.56 and the length of the longest side is 1134.4
Click here to see answer by rajagopalan(158)

Question 67783: Prove the following statement:
If a triangle has one obtuse angle, then the other two angles are acute.
Click here to see answer by stanbon(57307)

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