![]() Find the value of n.Correct answer is '4'. The ratio of areas of big triangle to the small triangle is n :1. Information about The diagram shows a circle with one equilateral triangle inside and one equilateral triangle outside. The Question and answers have been prepared Can you explain this answer? for GATE 2022 is part of GATE preparation. The diagram shows a circle with one equilateral triangle inside and one equilateral triangle outside. If the perimeter of the windowis 6 m, the area of the window in m2 is The base ofthe triangular portion coincides with the upper side of the square. A window is made up of a square portion and an equilateral triangle portion.more Which one of the following statements is true? ![]() The perimeters of a circle, a square and an equilateral triangle are equal.What is the sum, in degrees, of the second largest angle of thetriangle and the largest angle of the quadrilateral? Correct answer is between '180,180'. The largest angle of the triangle istwice its smallest angle. more le of a quadrilateral.The ratio between the angles of the quadrilateral is 3:4:5:6. The smallest angle of a triangle is equal to two thirds of the smallest ang.If length of side AB = 4 cm and length of side DE = 10 cm and perpendicular distance between sides AB and DE is 9.8 cm, then the sum of areas of triangle ABC and triangle CDE is _ cm2. more eing parallel to side DE of triangle CDE. Triangles ABC and CDE have a common vertex C with side AB of triangle ABC b.more bed circle of an equilateral triangle is _ The ratio of the area of the inscribed circle to the area of the circumscri.So remember these two key things, when you are looking at your test or your quiz. So how many similar triangles have you created? We have three triangles that are all similar to each other. And I'm going to use two different markings. Not only do both of these triangles have a right angle, but they share this angle in the corner. The same thing can apply to this triangle on the right. So if I look at this large triangle and I count that as triangle number 1, this is triangle number 2 and this is triangle number 3, I see that comparing triangle number 1 which is the large one, I have one right angle in each of these, and they share this angle right there which means you can use your angle angle shortcut to say that theses two triangles must be similar. ![]() So I had created one triangle and the left side of that altitude and on the right side I've created another smaller triangle. I'm going to redraw the two triangles that I've created down below. What I'm going to do is I'm going to create a certain number of similar triangles. And that is if I have a right triangle and if from this right angle, if I dropped an altitude to the other side. So if you see a problem like this and you're trying to find some of your side lengths, you know that you have similar triangles so you can set up proportions. So we have angle angle angle as congruent between these two triangles. And last we have vertical angles, which means that these two must be congruent as well. ![]() The same could be said for these angles up here. So if these two have the exact same intercepted arc, then they must be congruent. Now there's another angle that has the exact same end points. The intercepted arc extends from one point to the other. If I pick one of these angles here, and I looked at the endpoints well that would be one endpoint right here, and one endpoint right there. ![]() Well let's go back to what we know about inscribed angles in a circle. If you see a problem that looks like this, the question is do we have similar triangles. ![]()
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