The perimeter of a triangle, given only two sides and no information about angles, cannot be determined. However, it can be said (if the two given sides were A and B) that the perimeter cannot be less than 2A or 2B, whichever is more, nor more than 2(A+B).
These are limiting cases. In the first case, A or B approaches zero, which makes C approach B or A. In the second case, A and B have an angle approaching 180 degrees, making C approach A+B.
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The hypotenuse only is not sufficient to determine the area of a right triangle, unless the triangle is stated to be isosceles, or there is some other information that allows determination of the length of a side in addition to the hypotenuse. The area of a right triangle with a given hypotenuse only approaches zero as one of the two acute angles approaches zero degrees.
This can not be done without the stated image.
Let us recall the definition of an isosceles triangle. An isosceles triangle is a triangle with two equal or congruent sides. In this definition, it is not stated that it has exactly two equal sides. An equilateral triangle has three equal or congruent sides. If it has three equal sides, then it must have two equal sides. Therefore, an equilateral triangle is considered as an isosceles triangle. But, an isosceles triangle is not necessarily an equilateral triangle.
A "square" is a figure that has four sides of equal length. To get its perimeter, you multiply any of the four sides by 4. If you mean a "quadrilateral" that has the stated sides, just add the sides together.
To be considered a triangle, this particular polygon needs to have not only three sides, but three angles that add up to 180o. No matter the length of all three sides of the triangle, as long as all three angles add up to 180o, no more, no less, than the figure is considered a triangle. Be advised however, their will be specific times where a triangle can add up to more than 180o. If a triangle is placed on a 2D surface such as a paper or when looking at a screen, than no matter what, the angles will add to equal 180o as stated before. The special case though, is when a triangle is placed on a 3D surface. Imagine you are traveling from California and you go straight across the United States to Virginia. Once you are finished in Virgina, you make a complete 90o turn and head north. You travel all the way up the world and end in the North Pole. No matter where you start from, if you go straight north, you will always reach the most Northern point of the World. Now, since you feel that you no longer want to freeze in such a desolate region, you deside to head straight back to California where you started. Once you reach California, you realized if you were to go back to Virginia you would need to make another 90o turn once in California. You have just traveled in a triangular shape from where you started. During travel 2 90o angles were formed along with the angle made at the north pole. This is obviously over 180o even though the triangle was still made. This example is just one of the special times where a triangle will add up to more than 180o. As long as the triangle is placed on a 2D surface, the figure will proceed to have angles that equal up to 180o.
ASA or Angle Side Angle differs from the AAS in that the order of the sides or angles are stated is the same as they are labeled on a triangle. Just because the letters are shifted doesn't make them different. There are three angles on a triangle and there are only two stated so the two stated cannot be assigned to angles with a side in between them for AAS, or a side at either side for ASA.
If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).
The total internal angles of a triangle always equal 180 degrees. Therefore, the third angle of this triangle must be 180 - 54 - 63 = 63. Since this value is the same as one of the stated sides, the triangle is indeed isosceles.
The hypotenuse only is not sufficient to determine the area of a right triangle, unless the triangle is stated to be isosceles, or there is some other information that allows determination of the length of a side in addition to the hypotenuse. The area of a right triangle with a given hypotenuse only approaches zero as one of the two acute angles approaches zero degrees.
This can not be done without the stated image.
The largest angle is 105 degrees. The interior angles of any triangle total 180 degrees. Subracting the 30 degrees of the known angle leaves 150 degrees. The remaining 2 angles must total 150 degrees, and be in the proportion 3:7. The proportion can be stated: 3 is to 7 as x is to 150 - x. Cross-multiplying gives the equations: 450 - 3x = 7x 450 = 10x 45 = x So the remaining angles are 45 degrees and 105 degrees. The angles add to 150 degrees and are in the correct proportion, 3:7, since 3 X 15 = 45, and 7 X 15 = 105.
If one side of an isoceles triangle has a measure of 12.1, then either... 1. One of the other sides is also 12.1. ...or... 2. The other two side as equal to each other but not equal to the known side. In both cases, the unknown side(s) are unknown, because the angles are not stated.
The perimeter of the larger polygon will have the same ratio to the perimeter of the smaller as the ratio of the corresponding sides. Therefore, the larger polygon will have a perimeter of 30(15/12) = 37.5, or 38 to the justified number of significant digits stated.
A hexagon has six angles. If you mean does it have 90 degree angles, no, they are 120 assuming it's a regular hexagon. It's easier to give accurate answers if the questions are accurately stated.
Let us recall the definition of an isosceles triangle. An isosceles triangle is a triangle with two equal or congruent sides. In this definition, it is not stated that it has exactly two equal sides. An equilateral triangle has three equal or congruent sides. If it has three equal sides, then it must have two equal sides. Therefore, an equilateral triangle is considered as an isosceles triangle. But, an isosceles triangle is not necessarily an equilateral triangle.
Yes, your statement is dimensionally correct. But your formula is incorrect, and possibly ambiguous. First, the perimeter is only a simple sum involving length and width IF the figure is a rectangle. Second, the perimeter of the rectangle is double what you have stated: P = 2L + 2W
a rectangular shape is formed when there's no topic sentence in the paragraph