Questions on Geometry: Triangles answered by real tutors!

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Question 286031: The measures of the angles of a triangle are (2x + 10)◦, (3x)◦, (8x − 25)◦. The triangle is
A. Obtuse. B. Right. C. Acute. D. Equilateral. E. None of these.
Click here to see answer by richwmiller(9143)

Question 286027: A triangle has three angles with measurements A, B, and C such that A = x^2 + 49,
B = x + 2, and C = x + 130. Assume all angles are measured in degrees. Find x.
A. x = 0 B. x = 1 C. x = 180 D. x = −1 E. None of these.

Click here to see answer by stanbon(57354)

Question 286186: okay so in a right triangle the degree measures of the acute angles are in the ratio of 2:3. the degree measure of the smallest angle is___.
please tell me how to solve this problem
Click here to see answer by stanbon(57354)

Question 286259: The three sides of a triangle are 7, 24, and 30 units long. Is the triangle acute, right or obtuse? You must support your answer with computations.
Click here to see answer by stanbon(57354)

Question 286475: If the legs of a right Triangle measures 10 inches and 24 inches, what is the length, in inches, of the hypotenuse?
Click here to see answer by texttutoring(324)

Question 286562: triangle CAT has vertices c(4,9) A(8,-9) T(-6,5)
A. find the cordinates of the midpoints of each side of the triangle.
B. Find the length of the median from point C to TA.
C. Find the perimeter of triangle CAT.
D. Find the perimeter of the triangle formed in part a above.
E. How do the perimeters in parts c and d compare?
I did part a and b, but part b is wrong and i dont know the difference btween the question asked in part c from d.
Click here to see answer by Alan3354(30993)

Question 286763: One angle of an isosceles triangle is twice another angle of the triangle. Which of the following could NOT be an angle of this triangle?
A. 18◦ B. 36◦ C. 45◦ D. 72◦ E. 90◦
Click here to see answer by vleith(2825)

Question 286942: Find the vertex angle of an isosceles triangle with base angles of (8x-7) and (6x+9). Show your work for credit.
Click here to see answer by jim_thompson5910(28595)

Question 286961: I have a triangle with given angles 135, and 30. The side opposite the 135 degree angle is 12 units. The questions is: Find the length of the side opposite the 30 degree angle, x.
Click here to see answer by scott8148(6628)

Question 286984: How do you apply the formula of 30 60 90 to special right triangles?these are the formulas our teacher is using: hypotenuse * short leg and long leg equals square root 3 *short leg.

Click here to see answer by richwmiller(9143)

Question 286989: Why is it appropriate to use a proportion when comparing similiar triangles?
Click here to see answer by richwmiller(9143)

Question 286983: The measure of two sides of a triangle are 22 and 17. Between what two numbers must the measure of the third side be?
Click here to see answer by scott8148(6628)

Question 287193: △ABC and △A′B′C′ are similar triangles. Side AB and A′B′ are of length 2 and 6,
respectively. Side BC and AC are of length 3 and 7. What is the length of side B′C′?
A. 7 B. 5 C. 10 D. 1 E. None of these.

Click here to see answer by richwmiller(9143)

Question 287341: the hypotenuse of an isosceles right triangle is 16 centimeters. find the length of a side.
Click here to see answer by richwmiller(9143)

Question 287346: perform the following operation and express the answer in simplist form.
3x over 4 minus x over 3
3x x
-- - --
4 3
Click here to see answer by richwmiller(9143)

Question 287345: in triangle CAT, the measure of angle c=90 degrees, AC=5 CT=12 and AT= 13 what ratio represents the cosine of angle T
Click here to see answer by richwmiller(9143)

Question 287481: Need to find the area of a Trapezoid that has a height of 9 and the base 1 and 2 are 10 and 14. Thanks
Click here to see answer by stanbon(57354)

Question 287485: The following right triangles are similar. What is the value of x? ABC~DEF
AB=27 BC=36 CA=45, DE=x EF=7.2 FD=y FD is the hypotenuse. Please explain how to work this problem, my classmates came up with x=5.4 but I can not figure out how they got it. Thank you.
Click here to see answer by richwmiller(9143)

Question 287523: One of the base angles of an isosceles trianle is 35 degrees. Find the measures of the other two angles.
Click here to see answer by trampj30(1)

Question 287462: find the value of x if line ad is and altitude of triangle abc. the altitude is 4x-6 and the base of the right triangle is 29.
Click here to see answer by xachu4u(10)

Question 287605: i am trying to figure out if tan 20 degrees=cot 70 degrees. i dont think they are equal but i could use some help. thanks
Click here to see answer by dabanfield(803)

Question 287536: Find the measure of the complement of 35 degree angle.
Click here to see answer by dabanfield(803)

Question 287613: In a 30°- 60°- 90° right triangle, the shorter leg is 5 cm. How long are the other two sides of the triangle?
Click here to see answer by CharlesG2(828)

Question 288048: The length of each side of a scalene triangle ABC is a prime number. Its perimeter is also a prime number. Find the smallest possible perimeter.
a) 3 b) 11 c) 13 d) 17 e) 23
Click here to see answer by Edwin McCravy(8909)

Question 288320: I have been working on this math problem and i can't seem to figure it out. I was wondering if someone could help me? Please and Thank You! I would deeply appreciate it!
Angle RTS is a right angle; segement RT=8, RS=17, VT=12, and VS=9. What is the measure of angle V? Explain.
Click here to see answer by stanbon(57354)

Question 288322: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank you! I would deeply appreciate it!
8√6 divided by 2√6
Click here to see answer by dabanfield(803)

Question 288509: I can't seem to figure out this problem. Please Help Me!! I have tried a million times and it just doesnt seem right. The actual problem is: First I tried plugging it into this formula: A=15squared(times the square root of 3 divided by 4) but I got this really weird number; something around 97. Can you help me??
Click here to see answer by Alan3354(30993)

Question 288710: Can you help me with this question? I don't think it is possible. However, I do not know how to prove it or explain it.
Is it possible to draw a triangle with sides of lengths 1 cm, 7 cm, and 8 cm? Why or why not?
Click here to see answer by richwmiller(9143)

Question 288845: An isosceles right triangle has an area of 98 square units, what is the perimeter?
Click here to see answer by dabanfield(803)

Question 288949: If a triangle has sides of 4, 5, and x what is the smallest possible value for x?
1) 3
2) just less than 9
3) just larger than 1
4) 1
Click here to see answer by rfer(12660)

Question 288988: True or False: It can be concluded that triangle ABC is congruent to triangle DEF, given BC = EF, AC = DF, and m
Click here to see answer by nyc_function(2733)

Question 289098: Please help.
If the sides of a triangle are 40cm, 60cm, 104cm, is this a right triangle? Why or why not?
Click here to see answer by Fombitz(13828)

Question 289106: An isosceles triangle has a base of 46 centimeters and a vertex angle of 44 degrees. what is the perimeter?
Click here to see answer by CharlesG2(828)

Question 289188: How do you find a triangle whose ratio is 2:5:8 - this is sophmore advanced geometry and I am just a homebound teacher. please help!!!
Click here to see answer by checkley77(12569)

Question 289097: the baselines of a baseball diamond form a square with side lengths of 90 feet.
a player catches a ball at point A, which is on the foul line 30 feet beyond 3rd base. How far from 1st base is the player when he catches the ball ?
Click here to see answer by ankor@dixie-net.com(15652)

Question 289251: I don't know how to solve this.
The lengths of three sides of a triangle ABC are 6 centimeters, 4 centimeters, and 9 centimeters. Triangle DEF is similar to triangle ABC. The length of one of the sides of triangle DEF is 36 centimeters. What is the greatest perimeter possible for triangle DEF?
Click here to see answer by vleith(2825)

Question 289556: Is a triangle with side lengths of 6, 4, and the square root is 52 a right triangle? if so please explain how you got the answer
Click here to see answer by CharlesG2(828)

Question 289470: I know that the hypoteneuse of a right triangle is 9.0553. That, and the 90 degree angle is all I know.
I need to know the length of the short side to find the solution to the full problem (this is only one little part of it.)
This is what I tried to find one side:
2s^2=9.0553^2
2s/2^2=81.99/2
s^2=40.99
SQRT(s^2)=SQRT(40.99)
s=6.40
Then I thought I could plug that into the pythagorean theorem (a^2+b^2=c^2; where a=6.40, and c=9.0553) but my answer for the other side was also 6.40 I know this can't be right because it is an iscoseles triangle.
What do I need to do to find the lenth of the other two sides, or at least just of the shortest side? Is there a way to find the degree measures of the other angles in case it is a 90-60-30 triangle?

Click here to see answer by ankor@dixie-net.com(15652)

Question 289596: determine if a triangle with sides of 9", 12" and 18" is a right triangle. Explain your answer.
Click here to see answer by checkley77(12569)

Question 289707: the area of a triangle is if the height is 3x+6, what is the measure of the base?
Click here to see answer by j1mmy94(14)

Question 289838: find the length of the shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotenuse is 10 miles less than twice the shorter leg
Click here to see answer by richwmiller(9143)

Question 289968: C. If the triangle has one angle that measures 35 degrees and another angle that measures 105 degrees, what is the measure of its third angle?
Click here to see answer by richwmiller(9143)

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