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
5
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 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