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What are facts about right triangles?
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
What are difference between the sides of a right angle?
The side of a triangle that is opposite to 90 degree angle is called hypotenuse. The side that is opposite to the given angle (The angle that is under calculations) is called opposite. The side that is adjacent with the given angle is called base.
What is the relationship among a right triangle?
There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).
If side a equals 76.4 ft and side b equals 39.3 ft what is the measure of angle A?
I will assume that this is a right triangle and neither side length is the hypotenuse. In the case that this is a right triangle and neither side length given is for the hypotenuse, you would use tangent to solve for your angle measure. tan(Q) = the length of the side opposite of Q/the length of the side adjacent to Q. So for this answer: **NOTE: Side a is traditionally the side opposite to angle A.** tan(A) = a/b *where b is not the hypotenuse => tan(A) = 76.4/39.3 tan(A) = 1.94402... A = arctan(1.94402...) *arctan is the same thing as inverse tangent or tan^(-1) A ~= 62.78 Degrees * ~= means approximately. ***Extra stuff: tan = opposite/adjacent sin = opposite/hypotenuse cos = adjacent/hypotenuse
How do you find an angle of a right triangle when 3 sides are given?
you need a calculator to do Sin-1 Opposite/hypotenuse OR Cos-1 Adjacent/Hypotenuse OR Tan-1 Opposite/Adjacent
