Questions on Geometry: Triangles answered by real tutors!

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Question 281752: In a right triangle, the measures of the legs are 8 and x+6, and the measure of the hypotenuse is x+8. Find the value of x.
a. 9
b. 10
c. 12
d. 22

Click here to see answer by richwmiller(17219)

Question 281759: The hypotenuse of a 30 degree -60 degree -90 degree triangle measures 16. What is the measure of the shortest side?
Click here to see answer by richwmiller(17219)

Question 281763: Determine which set of numbers can be the measures of the sides of a right triangle.
a. 30, 30, 30
b. 30, 40, 50
c. 30, 60, 90
d. 30, 31, 32
Click here to see answer by Alan3354(69443)

Question 281771: A plane's altitude is 2400 ft. For the pilot, the angle of depression of the base of a control tower is 13 degrees. To the nearest foot, what is the distance from the pilot to the base of the control tower?
a. 2400 ft
b. 31,200 ft
c. 10,396 ft
d. 10,669 ft

Click here to see answer by stanbon(75887)

Question 281782: The measures of the sides of an isosceles triangle are 10, 10, and 4. Find the measure of a base angle to the nearest degree.
a. 23
b. 60
c. 78
d. 85
Click here to see answer by stanbon(75887)

Question 281787: Find x.
The sides of a right triangle are 8, 17, and 2x+1
Click here to see answer by jim_thompson5910(35256)

Question 281939: the perimeter of a right triangle whose shortest side is three?

Click here to see answer by richwmiller(17219)

Question 281940: what is the perimeter of a right triangle whose shortest side is 3
Click here to see answer by CharlesG2(834)

Question 282047: In triangle ABC, angle C is a right angle. If sin A = 6/10, find cos A.
a. 3/5
b. 3/4
c. 8/10
d. 10/8
Click here to see answer by Mathematicians(84)

Question 282047: In triangle ABC, angle C is a right angle. If sin A = 6/10, find cos A.
a. 3/5
b. 3/4
c. 8/10
d. 10/8
Click here to see answer by solver91311(24713)

Question 282059: In triangle ABC, angle C is a right angle. The length of AB=13, the length of BC=5, and the length of CA=12. Which angle has a sine ratio of 12/13?
a. angle A
b. angle B
c. angle C
d. none of the above
Click here to see answer by solver91311(24713)

Question 282054: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.
Click here to see answer by Fombitz(32388)

Question 282085: if the length of the hypotenuse of a 30-60-90 triangle is 20 what is the length of the shorter leg?

Click here to see answer by richwmiller(17219)

Question 282109: On a blueprint, the scale indicates that 6 centimeters represent 15 feet. What is the length of a room that is 15.6 centimeters long and 6 centimeters wide on the blueprint?
Click here to see answer by checkley77(12844)

Question 282219: what is the formula or how do you find the area of a triangle when (3) sides are given?
Click here to see answer by Mathematicians(84)

Question 282219: what is the formula or how do you find the area of a triangle when (3) sides are given?
Click here to see answer by nerdybill(7384)

Question 282383: the measure of each three angles of a triangle are represented by x,2x,and x+60, find the numerical measure of each angle

Click here to see answer by richwmiller(17219)

Question 282410: The diagonals of a rhombus have lenghts of 4 and 12. Find the lenght of a side in simplest form. ?
Click here to see answer by dabanfield(803)

Question 282674: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.
Click here to see answer by Alan3354(69443)

Question 282678: In ΔABC, m∠C = 118 and m∠B = 44. Which is the shortest side of the triangle?
Click here to see answer by vleith(2983)

Question 282778: The area of a triangle, in cm2, whose sides have length 6 cm, 7 cm, and 9 cm is:
A 2√110 b 12√3 c 9√6 d 22 e none of these

Click here to see answer by Greenfinch(383)

Question 283020: An Isosceles right triangle has area of 98cmsquare. Find the Length of each leg?
Click here to see answer by mananth(16946)

Question 283371: If they hypotenuse of a 30-60-90 degree triangle has a lenght of x, then (a) the shorter leg has length? and (b) the longer leg has length ?
Click here to see answer by richwmiller(17219)

Question 282676: In ΔABC, m∠A = 3x + 40, m∠B = 8x + 35, and m∠C = 10x. Which is the longest side of the triangle?
Click here to see answer by richwmiller(17219)

Question 283369: a right triangle has legs lengths of 9 and 12: The altitude of the hypotenuse has lenght of ?
Click here to see answer by richwmiller(17219)

Question 283376: The length of a rectangle is 10 cm. The diagnols are 15 cm long. Find the width.
Click here to see answer by richwmiller(17219)

Question 283383: how to find out area of the triangle if given three angles
Click here to see answer by richwmiller(17219)

Question 283375: Are the following triangles acute, right, obtuse, or not possible?
1. ^1, ^2, ^3
2. 1/4, 3/4, 3/4
3. 5,7,9
4. 0.2, .07, 1.0
Click here to see answer by Alan3354(69443)

Question 283375: Are the following triangles acute, right, obtuse, or not possible?
1. ^1, ^2, ^3
2. 1/4, 3/4, 3/4
3. 5,7,9
4. 0.2, .07, 1.0
Click here to see answer by richwmiller(17219)

Question 283389: Find the missing leg of a right triangle if the hypotenuse is 30 and one of the legs is 24.
Click here to see answer by Alan3354(69443)

Question 283390: find the length of a side of a square whose diagonal is 10in long
Click here to see answer by richwmiller(17219)

Question 283569: If a right isosceles triangle has two legs equaling 8cm., what is the hypotenuse length? what formula do I use to find it?
Click here to see answer by vleith(2983)

Question 283896: I have a triangle with sides of 1 and a side of SQRT(2), with an angle of 45� and an angle of 90�. Which of the following would be congruent to it?
a-a triangle with a side of 1, then an angle of 90�, and a side of 1
b-a triangle with a side of 1, then an angle of 90�, then a side of SQRT(2)
c-a triangle with the angles 45�, 45�, 90�
d-a triangle with sides of 1 and 1
e-a triangle with a side of 1, then an angle of 45�, then a side of 1
f-a triangle with an angle of 90�, then a side of SQRT(2), then an angle of 45�
I would be grateful for any assistance.
Click here to see answer by richwmiller(17219)

Question 284017: What is the area of a square with diagonals 10cm long
Click here to see answer by checkley77(12844)

Question 284017: What is the area of a square with diagonals 10cm long
Click here to see answer by solver91311(24713)

Question 284016: What is the area of a square with diagonals 10cm long
Click here to see answer by checkley77(12844)

Question 284007: 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 richwmiller(17219)

Question 284213: if the leg of a right triangle have measure 7 and 18, find the measures of the two acute angles to the nearest degree.
Click here to see answer by Alan3354(69443)

Question 284469: ΔABC is a 30-60-90 triangle, with the right angle at A, 30� angle at B, and 60� angle at C. If AC = 4, what is the length of BC?

Click here to see answer by nyc_function(2741)

Question 284578: how do you find the base of a triangle when the sides are 10 and 4 radical 5 and the height is 8
Click here to see answer by solver91311(24713)

Question 284564: One angle of a triangle is a right angle. The third angle is three times the smallest angle. what are their measures?
I have tried setting up an equation:
180= 90 + 3x + x
--------
-90
90= 3x + x
-------
3
30= x
but it didn't work because if this answer is substituted back in it doesn't work. I'm not sure if i just solved the equation wrong or if it is the wrong equation all together.
If you can help me it will be greatly appreshiated:)
Click here to see answer by richwmiller(17219)

Question 284673: An isosceles triangle has a perimeter of 78 cm and one side measures 28 cm. How many different triangles could have a perimeter of 78 cm? Give the dimensions of each.
Click here to see answer by richwmiller(17219)

Question 284688: A square has an area of 1/16 square inches.
What is the perimeter of this square and how do you know?
Click here to see answer by richwmiller(17219)

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