Questions on Geometry: Triangles answered by real tutors!

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Question 355054: this is the problem. A right triangle has two legs with lengths a and b and a hypotenuse with length c. in this triangle, the area and perimeter are the same nonzero number. find the length of a if b=6.
Click here to see answer by robertb(4012)

Question 355117: A landowner wishes to use 9 miles of fencing to enclose an isosceles triangular region of as large an area as possible. What should be the lengths of the sides of the triangle?

Click here to see answer by Alan3354(30993)

Question 355228: 2 points b and c are placed to the right of a such that 4ab=3ac. Find the value of bc/ab
Click here to see answer by Fombitz(13828)

Question 355238: Which of the following sets of three numbers could NOT be the lengths of the sides of a triangle?
a. (3,3,4)
b. (4,3,6)
c. (7,7,7)
d. (3,6,9)
Click here to see answer by Edwin McCravy(8909)

Question 355319: A triangle has sides of the following lengths: 1 meter, 3/2 meter and 5/6 meter. Which of the following sets of lengths (also in meters) are lengths of the sides of a triangle similar to the given triangle?
a. 11, 15 and 10
b. 3, 4 and 5
c. 2, 3 and 4
d. 5, 6 and 9
Click here to see answer by edjones(7569)

Question 355389: the legs of a right triangle measure 32 inches and 60 inches what is the hypotenuse?
Click here to see answer by rfer(12666)

Question 355532: Suppose that the angle of elevation of the sun is 30. Find the length (in feet) of the shadow cast by a woman who is 512 feet tall.

Click here to see answer by Alan3354(30993)

Question 355482: the area of a right isosceles triangle is 16, how long are its congruent sides?
Click here to see answer by Alan3354(30993)

Question 355707: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is five times the smallest angle. Find the three angles. (
Click here to see answer by Fombitz(13828)

Question 355788: how to find the range for the measure of the third side of a triangle given the measures of two sides
8 and 13
Click here to see answer by Edwin McCravy(8909)

Question 355873: Explain how you can find the measure of angles in similar triangles?
Click here to see answer by ewatrrr(10682)

Question 356143: the sail abc has side length a-b = 5 metres b-c = 6 metres and a-c=7 metres what is the area
Click here to see answer by mananth(12270)

Question 356332: A triangle has side lengths of 3 meters , 5 meters ,and 4 meters . the triangle is enlarged so that larger triangle is similar to the original and the scale factor is 5 . find the perimeter of the larger triangle
Click here to see answer by CharlesG2(828)

Question 356406: In a certain triangle, one side has a measure of 20 and another side has a measure of 26. If the triangle is isosceles, then which of the following could be the measure of the third side?
Click here to see answer by Fombitz(13828)

Question 356560: Find the following: 84°13' - 27°45'
Click here to see answer by stanbon(57377)

Question 356561: how do I turn 0.75 degrees in minutes and seconds
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Question 356561: how do I turn 0.75 degrees in minutes and seconds
Click here to see answer by jim_thompson5910(28598)

Question 356568: What are the 2 other sides of a right isoceles triangle if the hypotenuse is 1?
Click here to see answer by jim_thompson5910(28598)

Question 356608: Find the area of a triangle defined by R(0,0), S(6,8), and T(10,0).
Click here to see answer by nyc_function(2733)

Question 356488: the measure of one angle of a triangle is 40. the measures of the other two angles are in a ratio of 3:4
Click here to see answer by Fombitz(13828)

Question 356827: if 17 and 26 are the lengths of two sides of a triangle what is the range of possible values for the length of the third side?
Click here to see answer by Edwin McCravy(8909)

Question 356916: a triangular shaped sandbox has angles whose measures are in the ratio 3 : 7 : 2. What is the measure of the smallest angle?
Click here to see answer by rfer(12666)

Question 357111: A lot is in the shape of a right triangle. The longer leg measures 1 meter more than the shorter leg. The hypotenuse measures 2 meters more than the shorter leg. Find the dimensions of the lot.
Click here to see answer by ewatrrr(10682)

Question 357025: If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, by what percent does the area of the triangle change?
Click here to see answer by ankor@dixie-net.com(15659)

Question 357231: The second side of a triangle is three times the length of the first. The third side is five less than the second side. If the perimeter is 72, how long is the longest side?
Click here to see answer by mananth(12270)

Question 357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?
Click here to see answer by Fombitz(13828)

Question 357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?
Click here to see answer by edjones(7569)

Question 357368: A 30-60-90 triangle has a long leg of length 22. What is the area of this right triangle?
Click here to see answer by edjones(7569)

Question 357410: Hello,
-The length of the sides of a triangle are 7, 8 and 10. If the length of the longest side of a similar triangle is 25, What is the length of the shortest side of this triangle?
-If the number of degrees in a base angle of an isosceles triangle is four times the number of degrees in the vertex angle, What is the number of degrees in a base angle of the triangle?
Thank You.
Click here to see answer by edjones(7569)

Question 357546: if a polygon has an exterior angle of 18 degrees, how many sides does it have?
Click here to see answer by Alan3354(30993)

Question 357621: i have several questions.....
Classify each triangle (acute, obtuse, right) based on the given side lengths.
1) 6,9,10
2) 18,24,30
3) 20,100,110
4) 7,24,25
5) 2,5,6
6) 13,21,24 (if you could, could you explain how to do this?)
&&
Find the area of the shaded region. leave answers in simplest radical form
1) (isosceles) b= 40 in. side= 29 in.
2) (isosceles) b= 12 cm side=14 cm
3) (isosceles) b= 70 ft. side= 41 ft.
Click here to see answer by stanbon(57377)

Question 357651: Hello,
Please help me with the following problem, I did work it but I am not sure if it is right.
1. Find the perimeter and area of a right triangle if one leg measures 14 mi. and the other leg measures 48 mi.
MY ANSWER:
C^2=A^2+B^2
c^2=14^2+48^2
c^2=196+2304
C^2=2500
c=50 miles
--------------------
P=50+14+48
P=112 miles
----------------
A=.5lw
A=.5*14*48
A=336 sq miles

Click here to see answer by scott8148(6628)

Question 357755: my question is find the slope of the line containing each pair of points?
points: A(-2,3)and B(3,1)
Click here to see answer by rfer(12666)

Question 357657: What is the sine of the smallest angle in a right angle with the leg lengths of 8cm and 15cm
Click here to see answer by Fombitz(13828)

Question 358225: The lengths of the sides of a triangle are 3t,5t-12, and t plus 20.
A: find the values of t that make the triangle isoceles?
B: does any value of t make the triangle equilateral? explain.
Click here to see answer by Edwin McCravy(8909)

Question 358363: find the value of x, rounded to the nearest tenth
Click here to see answer by Alan3354(30993)

Question 358440: The area of a triangular sheet of paper is 190 square inches. One side of the triangle is 8 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to the side.
Click here to see answer by mananth(12270)

Question 358570: right triangle is 50 meters long and one side is 30 meters long. what is the remaining side?
Click here to see answer by guitarheroguy(26)

Question 358570: right triangle is 50 meters long and one side is 30 meters long. what is the remaining side?
Click here to see answer by Alan3354(30993)

Question 358548: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle
Click here to see answer by checkley77(12569)

Question 358749: Can this be solved? I think the question is worded wrong or is a misprint, please help.
An isosceles triangle with sides AB and BC congruent has the following lengths:
AB= x+7, AC = 3x-5
Solve for x and the length of all three sides.
Click here to see answer by Alan3354(30993)

Question 359086: A triangle has vertices A (-7,1) B (5,10) and C (-7,7). Determine the area of the triangle
Click here to see answer by Fombitz(13828)

Question 359278: What is the mesure of each angle of an equiangular triangle? Explain.
Click here to see answer by rfer(12666)

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