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Since the sum of the angles of a triangle is 180 degrees, we have:
(11x - 4) + (4x - 11) + (51 - 3x) = 180
11x + 4x - 3x - 4 -11 + 51 = 180
12x + 36 = 180 (subtract 36 from both sides)
12x = 144 (divide by 12 to both sides)
x = 12
The measure of angle A = 11x - 4 = 11(12) - 4 = 132 - 4 = 128 degrees, which is the largest angle of the triangle. Therefore, the longest side a is opposite to the angle A.
The measure of angle B = 4x - 11 = 4(12) - 11 = 48 - 11 = 37 degrees. The side b is opposite to the angle B.
The measure of angle C = 51 - 3x = 51 - 3(12) = 51 - 36 = 15 degrees, which is the smallest angle of the triangle. Therefore, the shortest side c is opposite to the angle C.
Thus, we can list the sides of the triangle from the shortest to the longest as c, b, and a.
What else can I help you with?
In triangle RED the measure of E equals 75 and the measure of R equals 23 choose the side lengths in order from longest to shortest?
Er>rd>ed
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
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.
What are the lengths to a right triangle if B equals 67 degrees and c equals 32.4?
-- If 'c' is the longest side of the triangle (the hypotenuse),then the other two sides (the legs) are 12.66 and 29.82 .-- If 'c' is not the longest side of the triangle, then the othertwo sides are 35.20 and 13.75 .(everything rounded)
What is the length of rt if rs equals 6 and st equals 6 and mo equals 11 and triangle rst equals triangle mno?
If triangle RST equals triangle MNO then RT = MO = 11 units. All the rest of the question - the lengths of RS and ST are irrelevant.
If a2 plus b2 equals c2 then the triangle is?
a right triangle
In triangle RED the measure of E equals 75 and the measure of R equals 23 choose the side lengths in order from longest to shortest?
Er>rd>ed
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
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.
What are the lengths to a right triangle if B equals 67 degrees and c equals 32.4?
-- If 'c' is the longest side of the triangle (the hypotenuse),then the other two sides (the legs) are 12.66 and 29.82 .-- If 'c' is not the longest side of the triangle, then the othertwo sides are 35.20 and 13.75 .(everything rounded)
How can you determine whether a triangle is a right triangle if you only know the lengths of the sides?
If it is a right angled triangle it will conform to Pythagoras' Theorm: The square of the hypotenuse = the sum of the squares on the other two sides. The hypotenuse would be the longest side, so add the two shorter sides squared together and if this equals the longest side squared then the triangle is a right angle triangle.
If a triangle has side lengths a b and c and if a2 plus b2 equals c2 then what does the converse of the Pythagorean theorem says about the triangle?
That it is a right triangle with the longest side c facing the right angle.
What does the Pythagorean Theorem state about the sides of a right triangle if the legs of triangle have the measurement of a and b and the hypotenuse of the triangle measures c?
a squared plus b squared equals c squared usually expressed as: a2+b2 = c2
If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides then the triangle is an acute triangle?
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
In this triangle side ac equals 1 side bc equals 1 and side ab equals 2 is triangle abc a right triangle?
no
In this triangle side ac equals 2 side bc equals 3 and side ab equals 4 is triangle abc a right triangle?
No siree
The worlds longest snake measured 6 yards and the shortest measured about 8 inches what is the difference in length?
6 Yards = 216 Inches minus 8 inches equals 208 inches or 208 Inches = 5.77824 Yards
The length of the sides of a triangle are consecutive even numbers find the length of the longest side if it is 22 units shorter than the perimeter?
Let the length of the longest side of the triangle be x units.Since the lengths of the sides of the triangle are consecutive even numbers, which differ by 2, the perimeter of the triangle equals to (x - 4) + (x - 2) + x = 3x - 6.Since the length of the longest side is 22 units shorter than the perimeter, the perimeter of the triangle also equals to x + 22. So that3x - 6 = x + 22 (subtract x and add 6 to both sides)3x - x + 6 - 6 = x - x + 6 + 222x = 28 (divide both sides by 2)x = 14Thus the longest side has a length of 14 units.
What is the length of rt if rs equals 6 and st equals 6 and mo equals 11 and triangle rst equals triangle mno?
If triangle RST equals triangle MNO then RT = MO = 11 units. All the rest of the question - the lengths of RS and ST are irrelevant.
