We can use the law of cosines here. ( remember, side b is opposite angle B) DEGREE MODE!
b^2 = a^2 + c^2 - 2ac cos(B)
16^2 = 10^2 + 12^2 - 2(10)(12) cos(B)
256 = 244 - 240(cos B )
12 = -240(cos B )
-0.05 = cosB
arcos(-0.05) = B
B = 93 degrees
Every triangle with sides of 6 in, 8 in and 10 in will have a 90 degree angle.
By using Pythagoras' theorem for a right angle triangle if side AB is the hypotenuse it is the square root of 149 which is about 12.207 rounded to three decimal places
No. For example, say the two angles are 10° and 20°. Then the other angle is 180°-10°-20°=150° and that is not a right angle. But if the triangle has two equal acute angles of 45 degrees then the 3rd angle must be 90 degrees which will form a right angle triangle.
5
Let the sides be abc and their opposite angles be ABC Angle C: (10^2 +11^2 -15^2)/(2*10*11) = 91.04179885 degrees Area: 0.5*10*11*sin(91.04179885) = 54.99090834 Area to the nearest integer = 55 square cm
It is (10, -2).
Since the right angle is not identified, the answer is either sqrt(84) or sqrt(116) units.
Every triangle with sides of 6 in, 8 in and 10 in will have a 90 degree angle.
By using Pythagoras' theorem for a right angle triangle if side AB is the hypotenuse it is the square root of 149 which is about 12.207 rounded to three decimal places
Absolutely not!If C is the right angle, then by conventional notation, c is the hypotenuse and so is the longest side!
(9, -5)
(6, -4)
5
The given dimensions are not compliant for the construction of a right angle triangle but the area of any triangle is: 0.5*base*height
This is a scalene triangle as it has no equal sides or angles. It is not a right angle triangle.
No. For example, say the two angles are 10° and 20°. Then the other angle is 180°-10°-20°=150° and that is not a right angle. But if the triangle has two equal acute angles of 45 degrees then the 3rd angle must be 90 degrees which will form a right angle triangle.
Let the dimensions be 10 cm by 12 cm by 9 cm and call them abc with their opposite angles being ABC:- Using the cosine rule angle A = 54.64 degrees Using the cosine rule angle B = 78.14 degrees Angle C: 180 -54.64 -78.14 = 47.22 degrees