No, because the biggest length (hypotenuse) has to be equal to the square root of the sum of the squares of the other two sides, which it is not
2
A triangle with side a: 5, side b: 8, and side c: 11 units has an area of 18.33 square units.This is not a right triangle, so it has to be calculated as two smaller right triangles, or using Heron's Formula since the side lengths are known.Here p= half-perimeter = (5 + 8 +11)/2 =12A = sqrt {p [(p - a) * (p - b) * (p - c)]}A = sqrt [ 12 (7 x 4 x 1)]A = sqrt [12 x 28]A = sqrt 336 = about 18.33
The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length. If the third side has to be the longest, the two shorter sides can only have integer lengths of 1 and 2 2 and 3 3 and 4
Half the length of one side multiplied by (square root of 3)/(2). in triangle ABC with height H: (A•sqrt3)/2 or A (sqrt3)/2 This is because of the Pythagorean theorem. You draw a line from the top vertex of the triangle vertically to the bottom side. This line is perpendicular to the bottom side and it will bisect that side. Now you want to know the length of your new line. On each side of it, you have a smaller triangle, one side with the length of the side of the original triangle (let's call it s) and one side with length half that, (1/2)s. Since the side with length s will be the hypotenuse of the triangle, we know s2 = (s/2)2 + h2 by the Pythagorean theorem. (h stands for height.) s2 = s2/4 + h2 s2 (1-1/4) =h2 s2(3/4) =h2 (sqrt3)s/2 = h
There are lots of sets of numbers that fit that definition! But the important thing to remember about triangles is the Third Side Rule, or the Triangle Inequality, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. So you can have a triangle with sides of 3, 4 and 5 because 3 < 4 + 5, 4 < 3 + 5 and 5 < 3 + 4; and because 3 > 5 - 4, 4 > 5 - 3 and 5 > 4 - 3. But you can't have a triangle with sides 1, 2 and 8, for example. Just imagine three pieces of wood or three straws with lengths 1, 2 and 8. Put the longest piece, 8, horizontally on the table. Then put the other two, one at each end of the longest piece. Could those two shorter sides ever meet to form a triangle? No, never!-----------------------------------------------------------------------------------------------------------The length is always positive, so that all real positive numbers can represent the length of sides of a triangle: {x| x > 0}.------------------------------------------------------------------------------------------------------------Whoever added that to my answer, sorry, I beg to differ! The question asked what SET of numbers cannot represent the lengths of the sides of a triangle. There are infinite possibilities for that. While the lengths are always a set of real positive numbers, not every possible set of real positive numbers is a potential set of numbers that represent the lengths of the sides of a triangle!
If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.
No
A right triangle is triangle with an angle of ( radians). The sides , , and of such a triangle satisfy the Pythagorean theorem(1)where the largest side is conventionally denoted and is called the hypotenuse. The other two sides of lengths and are called legs, or sometimes catheti.
yes
no
No. Each side must be shorter than the sum of the other two sides.
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
A right triangle is a triangle with a right angle.a right triangle is a triangle with 1 side as a right angle
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
-- Imagine what you have if you slice the triangle in half along the height ...-- You have a right triangle. One side of it is 1/2 of the base, and one side isthe height.-- The slanting side is the hypotenuse of the right triangle, and knowing whatyou know about right triangles, you can calculate its length.-- Once you do that, you have the lengths of all three sides of the original triangle,and you can calculate the perimeter.
The lengths of the 3 sides of a certain triangle are related as shown below, where n is the length of the shortest side of the triangle.0.5n, 1.5n, 2.5nWhich of these name the lengths of the sides for another triangle, similar to the first triangle, for any value n ≥ 1?
No. It is not possible. * * * * * Yes, it is.