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Tutors Answer Your Questions about Triangles (FREE)
Question 156850: The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the other. What are the lengths of the sides of the triangle?
So far I know that i should use the Pythagorean theorem.
I've drawn the triangle and know:
1st Leg: h/2
2nd Leg: h-10
Hypotenuse: h
(h-10)^2 + (h/2)^2 = h^2
4(h^2-20h-100+ (h^2/4))=h^2
4h^2-80h-400+h^2=h^2
5h^2-80h-400=h^2
Click here to see answer by jim_thompson5910(13794)   |
Question 156850: The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the other. What are the lengths of the sides of the triangle?
So far I know that i should use the Pythagorean theorem.
I've drawn the triangle and know:
1st Leg: h/2
2nd Leg: h-10
Hypotenuse: h
(h-10)^2 + (h/2)^2 = h^2
4(h^2-20h-100+ (h^2/4))=h^2
4h^2-80h-400+h^2=h^2
5h^2-80h-400=h^2
Click here to see answer by nerdybill(2446)  |
Question 157829: A triangle has sides whose lengths are 2,12, and 13. A similar triange could have sides with lengths of:
1) 3,13,14
2) 4,24,26
3) 3,4,5
4) 10,24,26
Click here to see answer by gonzo(654) |
Question 158263: Ninety-eight feet of fencing is required to fence in a triangular ostrich pen. If the second largest side is three feet longer than the shortest side and the longest side is one foot shorter than twice the shortest side, what is the length of the largest side?
Click here to see answer by checkley77(7069) |
Question 158298: I have a triangle and the sides are 150 cm 175 cm and 200 cm. I have 25 similar trianles that I need to use to tile the entire area of this triangle. I am supposed to tell the lenghts of the sides of the small triangles used in the tiling and explain how I figured it out. I think that the sides are 6cm 7cm and 8cm each, but I'm not sure how I got that. Am I going in the right direction and if so, how do I explain it.
Click here to see answer by scott8148(3382)  |
Question 160074: Jose had a herd of cattle. Then he bought more cattle so that total number wsa four times the original number. He was given six more cattle, he then sold half the herd, and finally lost 4 cattle. At this time Jose had 39 cattle left. How many cattle did he have at the start?
Click here to see answer by texas4119(1) |
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
Click here to see answer by Fombitz(2113)  |
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.
Click here to see answer by Alan3354(6090)  |
Question 161764This question is from textbook Geometry
: 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
This question is from textbook Geometry
Click here to see answer by eperette(173) |
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
Click here to see answer by scott8148(3382) |
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..
Click here to see answer by Alan3354(6090) |
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
Click here to see answer by vleith(1977) |
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?
Click here to see answer by joecbaseball(37) |
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!
Click here to see answer by scott8148(3382) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575
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