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.
Well, darling, the sum of the angles in a triangle is always 180 degrees. So, if you add 98 and 10 together, you get 108. Subtract that from 180, and voila, you've got yourself the measure of the third angle: 72 degrees. Math doesn't have to be a drama, honey!
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
This is a scalene triangle as it has no equal sides or angles. It is not a right angle triangle.
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
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.
In a right triangle with the hypotenuse c equals 10 and the angle A equals 50 degrees the angle B equals: 40 degrees.