Questions on Geometry: Triangles answered by real tutors!

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Question 867350: Juan wants to test whether a 15-foot high flagpole is vertical (forms a right angle with the ground). He attaches two strings from a point on the ground to the opposite ends of the flagpole. Juan says since the measure of the short string is 8 feet and the long string is 17 feet, the flagpole is vertical. Is he correct?
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Question 867286: DRAW A SKETCH AND SOLVE THE PROBLEM
Suppose you are standing on one bank of a river. A tree on the other side of the
river is known to be 150 feet tall. A line from the top of the tree to the ground at
your feet makes an angle of 11° with the ground. How far from you is the base of the tree?

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Question 867619: what is the base of a triangle whose height is 25cm and a given angle of 45 degrees
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Question 867638: the points (2,-1),(-2,3),(3,4),(-3,-2) are the vertices of a
(a)square
(b)rhombus
(c)parallelogram
(d)rectangle

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Question 867822: If two sides of a right triangle have lengths of 10 feet and 16 feet, what does the third side equal?

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Question 867891: what is the missing side of a tringle if one side is 16 inches and the second side is 118 inches and it has a 90 degree angle,
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Question 868190: can 18in., 80in., and 82in., be the side lengths of a right triangle?
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Question 868174: What triangle has 14,98,68 degrees
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Question 867457: Find the length of the altitude drawn from the vertex angle of an isosceles triangle if each of its two congruent sides has length 12 and the base angles are 48°. Find the length to the nearest integer.

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Question 868355: A plane flew 1200 kilometers north. It then changed direction by turning 15 degrees clockwise and flew for another 850 kilometers. How far was the plane from its starting point?
Use the law of cosine Xˆ2=Yˆ2+Zˆ2-2(Y)(Z)CosX
Bˆ2=850ˆ2+1200ˆ2-2(850)(1200)(Cos15)
Bˆ2=192011.3
√X=√("192011.3" )
B=438.191

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Question 868331: The side of the triangle are 20m, 25m , and 30m repectively. Find the Length of the altitude to the longest side?
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Question 868446: the measurments of a interior angles of a triangle are 2x 6x and 10x. what is the measure in degrees of the largest amount.
please we need this ASAP

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Question 868247: In the right triangle shown, ∠B=60∘ and AC=6. How long is AB?
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Question 868486: if the area of a triangle with base x is equal to the area of a square with side x then the altitude of the triangle is:
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Question 868223: Two legs of a right triangle are 3 cm and 7 cm. A similar triangle has the shortest side of 5 cm. Find the other leg.
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Question 868576: Use the diagram below to solve for x. If necessary, round your answer to two decimal places.
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Question 868674: If BC = 6.5, CD = 7.8, and AD = 12.2, find AB to the nearest tenth.
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Question 868698: Given the perimeter P, find the missing measurement
P=10x+8
1st side = 5x+3
2nd side = 3(x+2)
What is the 3rd side?

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Question 867859: Find the length of the altitude drawn from the vertex angle of an isosceles triangle if each of its two congruent sides has length 12 and the base angles are 48°. Find the length to the nearest integer.
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Question 868765: If the area of a right triangle is 9/16 sq. ft. And the height is 3/4 in., write an equation that relates the area to the base, b, and the height. Solve the equation to determine the base.
I tried .5(.75 x w) = .642
W= 1.708

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Question 868744: What is ABC if C=62, A=28.5, B=33

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Question 868786: What is the midpoint of a line segment whose end points are A(1,6) and B(-8, 4)?
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Question 868786: What is the midpoint of a line segment whose end points are A(1,6) and B(-8, 4)?
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Question 869035: Classify this triangle as acute, right, or obtuse with the numbers 12, 8, and 10
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Question 869177: b=8 1/2 inches
h= 15 inches

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Question 869207: 1.)if the measurement of angle a is 64 degrees and the measurement of angle abe is 32 degrees find the measurement of e

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Question 869241: the coordinates of point A are (-3a,4b). if point a' is the image of point a reflected over the line y=x, the coordinates of a' are?

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Question 869307: If you were to try and find the length of the line that goes from top to bottom how would you do it?
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Question 869323: A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.

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Question 869691: The measures of the angles of a triangle are 50°, 35°, and 95°. What is the measure of the largest exterior angle of the triangle?
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Question 869699: h^2 + 18^2 = 5 cm^2
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Question 869072: If you have a triangle with 2 sides 12 ft long and there is a 90 deg angle between them, what is the length of the third side.
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Question 869627: I'm trying to solve this Question. "One leg of a triangle is 48 units long. The other two sides have integral lengths. Find all possible lengths of the two sides." I drew a triangle and labeled one side 48. i tried using cosign to find the hypotenuse but i got an answer of 0. Please help.
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Question 869812: What is the area of a triangle with a hypotenuse of 14 and a height of 12

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Question 869812: What is the area of a triangle with a hypotenuse of 14 and a height of 12

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Question 869978: 1/4 + 3/10a
I have no idea how to solve this.. please help

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Question 870047: Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is m∠TUS?
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Question 870004: the middle points of the sides of a triangle are ( 2,1)(-1,-3) and ( 4,5) respectively . find the coordinates of the vertices of the triangle
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Question 870303: Hi I'm having trouble answering this question
'In a triangle,the largest angle is 20 degrees larger than the smallest angle.Write down the three angles it could be?'
The triangle I've got is that one of the side of the triangle is the largest,the other side is in the middle which is the second largest and the last one is the smallest side.
I've tried different ways like starting from 180 degrees and took away from there but they don't actually work and I don't get it.This is a question from my practice test for revision and it's a calculator test.
Thanks from Naomi

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Question 870442: A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.

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Question 870672: Remember to include units as appropriate and to round answers to the nearest tenth.
You can use law of sines/cosines, area, etc.
Find <6,-2> * <3,-9>. Are the vectors perpendicular?

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Question 870680: In right triangle LMN, ∠N is a right angle and cos M = 46/85. What is m∠L to the nearest degree?
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Question 870794: In the right triangle shown, ∠B=60

and AB=63√. How long is AC?

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Question 870776: hypotenuse 50mm 14mm
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Question 870825: The measures of the angles of a triangle are in the ratio 1:2:3. The length is the longest side is 12. What is the length of the shorter side?
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