solve-the-given-problems-an-architect-is-designing-a-window-in-the-shape-of-an-isosceles-triangle--2

Question

Solve the given problems.
An architect is designing a window in the shape of an isosceles triangle with a perimeter of 60 in. What is the vertex angle of the window of greatest area?

Susan Cooper · Accepted Answer

so a builder wants to construct a triangular window that is hopefully cut straighter than my drawing. We need to know if he wants it to have this ratio to. So to be a nice sauce Elise Triangle, where the base angles are 30 degrees more than the peak. What does he need to cut each of these angles at? So I know that the sum of the angles of a triangle equal 1 80 So all I need to do is add at my three angles, and I need that to equal 1 80 that will let me solve for X. Let&#x27;s go ahead and simplify the left hand side by combining like terms that gives me three acts plus 60 equals 1 80 Then I&#x27;m gonna subtract 60 from both sides. So I know three X equals 1 20 and that gives me X equals 40. So the question asks, What angles will we have to cut to make the windows fit? So he&#x27;ll have to cut 40 degrees, 70 degrees and 70 degrees for his three angles

Ashley Volpe · Answer

all right, eso in this question, we have a rectangle and rectangles have diagonals that are congruent So we know that those two lines of the same and it says they intersect with angles of 60. And so that&#x27;s then gonna make. Since these are the same and it&#x27;s 60 it&#x27;s gonna make this one the same. So we have some equal lateral triangles there tells me they&#x27;re 12 inches long, which means that each piece of this that is six now, because this is a 30 this isn&#x27;t 30 60 90 triangle. If the short side is X, we immediately know what the long side is. In this case, that would be six radical three, which would mean this one is six radical three, this one of six. And so if we want the perimeter, the perimeter is going to equal two times the six plus two times the six radical three as of the perimeter is 12 plus 12 radical three and we&#x27;re in inches

Jeffrey Morris · Answer

hurts. We have to tidbits of information we have to youth here. The 1st 1 We&#x27;re told that the perimeter of a triangle is between 15 60. Do we have here? The perimeter is between 50 and 60 centimeters. We also know that the formula for the perimeter in regards to the length of side he&#x27;s about the perimeter if you go three times the length of one side. So we need to take this equation that we have here and plug it in for the perimeter. So what? I end up having curious 50. It&#x27;s less than three times the length of her side, which is blessed in 60. All right, all we have to do here divide by three and we end up getting 50/3 is less than the link, which is blessed in 20. And remember, 50/3 is about 16 or 17. It&#x27;s about 16 and 2/3 so we want to write that as a mixed number just to make things more clear. If 16 and 2/3 link and 20 to the length of Assad, in order to make this the truth, the length of Assad has to be between 16 and 2/3 centimeters and 20 centimeters

Matt Gibson · Answer

The two things I know that helped me through this problem are that the some of the three angles of a triangle total 1 80 that the base angles have to be equal. So if the one in 68 the other 68. So the angle I&#x27;m trying to find is the Vertex angle edges called that X So 68 plus 68 he&#x27;s new 1 36 Cross X subtract 1 36 gives me X equals 44 degrees. That would be the Vertex angle I&#x27;m trying to find.

Heather Zimmers · Answer

to find out if we have a rectangle. Let&#x27;s start by plotting these points so we have negative for four. I&#x27;m going to call that point a negative one negative to that will be be 06 that will be see and 30 that will be deep. Now we&#x27;re going to find out if we have a pair of perpendicular sites because that would give us a right angle. So let&#x27;s find the slopes of these sides. So the slope of segment A B using those two points, why to minus y one would be negative. Two minus four over X two minus X one Negative one minus negative four. And that would give us negative 6/3. So that&#x27;s negative, too. And then let&#x27;s check out the slope of the line right next to it. One of them is a C. So the slope of a C using those two points, we would have why? To minus y 16 minus four over x two, minus X one Negative one minus negative four. And that would be to over three. Okay, I&#x27;m gonna back that up and do that denominator again. Using points A and C, we would have x two minus X 10 minus negative four and that would before so they slope to over four reduces to 1/2 now negative two and positive 1/2 are opposite reciprocal Oles. So that tells us that those two sides are perpendicular and we do have a right angular, a right angle, So we have a rectangle.

Problem

Solve the given problems. A camera is on the star…

Problem 36 Easy Difficulty

Solve the given problems.
An architect is designing a window in the shape of an isosceles triangle with a perimeter of 60 in. What is the vertex angle of the window of greatest area?

Answer

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Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus