Tagged Questions
0
votes
2answers
248 views
Minimizing (and maximizing) the area of triangles
How would one solve questions like this one here in general? I have gotten an answer for that question, but I don't understand what's the intuition behind it. Can smoeone clearly explain how to ...
0
votes
2answers
69 views
Angular radius of a sphere
Given a sphere with radius $r$ about a point $c$, what's the apparent angular radius $\alpha$ of that sphere from point $P$? In other words, if $\vec{o} = c - P$, what's the maximum angle another ...
0
votes
2answers
675 views
Deriving the formula for the radius of the circle inscribed in an equilateral triangle
I am trying to derive the formula for the radius of the circle inscribed in an equilateral triangle from scratch.
Given
$2*n$ = length of a side
$H$ = the altitude of the triangle = $h + a$
...
4
votes
2answers
20k views
Solving Triangles (finding missing sides/angles given 3 sides/angles)
What is a general procedure for "solving" a triangle—that is, for finding the unknown side lengths and angle measures given three side lengths and/or angle measures?
0
votes
4answers
942 views
Solving a triangle given two side lengths and the measure of a non-included angle
Let's say given an angle A = 46 °, side a = 2.29 and b = 2.71
I figured that the angle B = 58.4 by saying:
$$B = \frac{\sin^{-1} (2,71 \cdot \sin(46°)}{2,29}=58,4°$$
But I think that ...
0
votes
2answers
344 views
Solving a triangle, given two sides and the measure of the included angle
Let say you have a triangle
Angle A = 41 degrees , side b = 3.41 and c = 5.83
can you use pythagoras theorem to find the side a?
and how can you find Angle B and C
2
votes
1answer
133 views
Find angles using the Law of Cosines
if you must find the Angle C based on the sides of a = 2, 3 b = 4,6 og c = 5, 9
I have used the formula:
$$\cos (C) =\frac{a^2 + b^2-c^2}{2ab}$$
use, but I think i'm doing something wrong:
...
0
votes
1answer
514 views
Solving triangles and quadratic equations
When calculating the pieces in a triangle with only two sides and an
intermediate angle is known, one must solve a quadratic equation. By
solving the equation are 2, 1 or 0 solutions, as ...
1
vote
3answers
163 views
Systems of equations finding right triangles
I need help setting up the equation for the question, "Find all right triangles for which the perimeter is $24$ units and the area is $24$ square units."
I know that the area is $A = \frac12 b h$ ...
0
votes
1answer
71 views
Quadratic Equation related question.
So here's the question :
The hypotenuse of a right triangle is $3 \sqrt 5$ cm. If the smaller side is tripled & the larger side is doubled, the new hypotenuse will be $15$ cm. Find the length of ...
0
votes
2answers
177 views
How long is side $c$ in this right triangle if $a = b$?
A right angled triangle has side lengths labeled as so.
A common geometric construction that shows three squares sitting upon the sides of a right triangle with lengths A, B, and C
However unlike in ...
