Questions on Geometry: Triangles answered by real tutors!

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Question 160602: The perimeter of a triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region.
I got this far: x*(1/2)x*x-3=37

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Question 160690: In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD=6 and AD=9, find DB.
PLEASE HELP!, THANKS

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Question 161188: what is the length of the third side of a right triangle if one side is 50 feet and the other side is 50 feet?
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Question 161576: The second side of the triangle is 3 meters shorter than twice fhe first side. The third side is 4 meters longer than the second side. If the perimeter is 58 meters, find the length of each side of the triangle.
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Question 161598: I am lost on this worksheet. Will you please help.
Classify triangle ABC by its angles if m angle B=26 and m angle A=64. Must show work.
Thanks

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Question 161599: This is a worksheet and we have no book so will you please help.
In triangle XYZ, XY=~YZ. If m angleX=52, find m angle Y. We have to show our work.
Thanks

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Question 161669: Have a right triangle with base h+7 and height of h. The area equals 60. What is the height?
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Question 161698: Please help with this problem?
Give the measure in degrees of the angle described
D Angle D represents 1/2 of a complete circle

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Question 161764: the measure of one angle of a triangle is 28 more than the smallest angle of the triangle. the measure of the third angle is twice the measure of the smallest angle. what are all 3 angle measures?
1. Before answering this question, you must know that in any triangle, the sum of all three angles is ALWAYS 180 degrees.
2. You must also know and be able to translate math key words to algebraic form
***is =
***#more than +#
***twice 2*
3. SOLUTION:
let angle x= smallest angle
let angle y= x + 28
let angle z=2x
Since x+(x+28)+(2x)=180 simplify now
4x+28=180
4x+28-28=180-28
4x=152
4x/4=152/4
x=38
smallest angle = 38
angle y=28+x=28+38=66
angle z=2x=2(38)=76
Check 38+66+76=180

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Question 161851: angle a is 4 times greater than angle b and angle c is 20 degrees less than angle b...
i have tried every possible whole number and even busted the equation down to as small as 64th increments.we have not yet studied hours,minutes,seconds..
so i figured it was not able to be figured out..could you please help...
thank you..........sherry

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Question 162200: i need help
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Question 162273: If the base of a larger triangle is 34 inches long, what is the length of side A of the smaller triangle? The smaller triangle's base is 17.. im so not good at math and have been stuck on this for three days someone please help me asap.. this is due later today..
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Question 162499: Find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give the answer in simplified radical form. Must show work and don't understand how to do this.. Please help.
Thanks

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Question 162498: I'm lost
In a right triangle ABC, angle B=90, AB=5, and AC=12. Find BC. Round to the nearest tenth if necessary. Must show work.
Please Help
Thanks

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Question 162702: if you know the area of a triangle = 60 sq feet and the base is 6ft, what's the height?
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Question 162937: In an isosceles triangle, the length of one of the equal sides is three time the length of the third side. The perimeter is 21 meters. Find the length of each side.
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Question 163039: Triangle EFG is isosceles with base FG. K is the midpoint of FE and L is the midpointbetween EG. Do not use the distance formula. No ordered pairs are given. Draw and label this triangle.
EK=2x+3 LG=5x-9 FG=4x (These are not equations.)
What is the value of x?
Find the perimeter of thiangle EFG.
Find the area of the triangle using Pythagoras. round to nearest whole number.
Find the area of the triangle using Hero's formula. Round to nearest whole number.
How do they compare?

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Question 163012: how do i determine which angle is greater in a triangle??...
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Question 163919: smithville is 70 miles from johnstown and tomstown is 90 miles from johnstown, which is a possible distance? A. 200 B. 150 C. 10 or D. 5
This is not a text book question... something doesn't seem right...wondering if numbers were misprinted. Thank you!

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Question 163954: Can you please help me solve this problem?
-3 - 4 (t-5) = -2(t+3) + 11

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Question 163952: What is values of x, x + 1, and x + 2 =12?
Thanks in advance!

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Question 164343: http://davinci.keymath.com/KeyPressPortalV2.0/ImportingCourses/DG4E/chapter4/Images/203-01.gif
bottom image on right find angle measures of r, s, and u
i believe
m=30
n=50
p=82
q=28
t=118

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Question 164474: I am having problems with this question.
If one of the acute angles of a right triangle has twice the measure of the other acute angle, what is the measure of the acute angle with the greater measure?

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Question 164545: how do i get the two coordinets

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Question 164500: A=1/2 bh for h
solve the equation
the largest angle in a triangle is 3 more than 4 times as big as the smallest angle. The middle angle is 2 less than twice the smallest. What is the measure of the largest angle?

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Question 164522: The longest side of a right triangle is 5 meters, and the shortest side is 3 meters. What is the area of the triangle in square meters?
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Question 164631: Suppose triangle LWT is isosceles, the measure of angle W= 90 degrees, LW= 7X+ 21, and TW= 4X + 21.
a. Determine LW,TW,LT, the measure of angle L and angle T.
from: geometry
concepts and skills
Chapter 4 Section 7

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Question 164657:
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Question 164661: 65)



subtract the polynomials
(-6s^2 +5s+4)-(7s^2+4)

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Question 164675: Find the following. Assume that variables can represent any real numbers.
sqrt(a+5)^2

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Question 164928: A rectangular piece of cardboard with perimeter 30 in., two parallel and equally spaced creases are made. The cardboard is then folded to make a prism with open ends that are equilateral triangles. Find the volume of the prism as a function of x and what is the domain of V(x)? Thanks to those who can help!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 165226: QUESTION: Vertex angle A of isosceles triangle ABC measures 20 degrees more than three times measure angle B. Find measure angle C.


Approach:


(3x+20)+x+x=180


5x=180


x=32
BOOKS ANSWER IS 34. WHY???

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Question 165224: QUESTION: In isosceles triangle ABC the ratio of the measure of vertex angle A to the measure of angle B is 2 to 5. Find angle C.

1st APPROACH: we know that in an isosceles triangle two angles are the same and the sides opposite them are also the same.

Since this problem doesn't tell you which is the base vertex in this isosceles triangle, I have assumed it to be 5x. Because of "RULE:"
the length of each side is less than the sum of the lengths of the other two sides and greater than the difference between these lengths....3less than x less than 7. Therefore x is in the range of 4, 5, 6.

2x+5x+5x=180

12x=180

x=15
Angle C is 75 degrees


2nd APPROACH: we know that in an isosceles triangle two angles are the same and the sides opposite them are also the same.


Since we already used 5x as the base vertex in our previous approach lets assume 2x is the base angle, this time, because it's an isosceles triangle.


2x+2x+5x=180

9x=180

x=20
Angle C is 40 degrees


BOOKS ANSWER IS 100 degrees, why?

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Question 165242: Given:Triangle ABC
Segment BD is perpindicular to segment AC
Segment BD is a median of Triangle ABC
Find: What kind of triangle is Triange ABC?

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Question 165593: Hi, if theta is an acute angle and sin theta =1/2, then cos theta=
I have drawn a right triangle with the hypotenus on the right. It has a one on the bottom and a two on the hypotenuse. Then I tried 1^2+b^2=2^2 and ended up with square root of b^2 =square root of 3. I do not know where to go from there

Thankyou.

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Question 165697: Triangle ABC is isoceles with ABis equal to AC 7.5cm and BC is 9cm. The height AD from A to BC , is 6cm. Find the area of triangle ABC. What will the height be from C to AB i.e CE
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Question 165934: The legs of a right triangle differ by 2 centimeters and the hypotenuse is 4 centimeters more than the shorter leg. Find the sides of the triangle.
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Question 166087: If a natural number is written as the sum of three natural numbers, show that one of the numbers in the sum must be less than or equal to one third of the original natural number.
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Question 166330: Find the value of x and then classify the triangles. pg. 174
20x+10, 30x -2, 7x+1
I was thinking that I had to add
20x+30x+7x= 57x
Then
10-2+1=9
57x+9=360
57x=351
It is just not coming out right. So frustrated!

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Question 167531: Find x,JM,MN,and JN if triangle JMN is an isosceles triangle with line JM congruent to line MN.
JM=2X-5
MN=3x-9
JN=x-2
T.he book answer is x=4,JM=3,MN=3,JN=2
Please explain how to work

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Question 167677: Find the values of the variables:
one angle = 90 degrees
one angle = (2x-11)
one angle = (y+16)
two congruent sides are of the right angle
(2x-11)+(y+16) = 90

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Question 167885: if the area of a triangle is 60 sq m and the base is 20 m, what is the altitude h. ISBN 0-13-073784-4
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Question 167950: why must the sum of two sides of a triangle always be greater than the third side.
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