how do u find the missing angle of a right triangle where the the sides are 3,4,5 and its angle inside is a 90 degree angle
The two other angles have sines of 3/5 and 4/5. Using trig tables or a calculator, that tells you that the angles are 36.87 degrees and 53.13 degrees.
To find the missing angle of a right triangle with sides 3, 4, and 5, where one angle is 90 degrees, you can use trigonometric ratios.
First, let's label the sides of the triangle:
- The side opposite the 90-degree angle (right angle) is called the hypotenuse, which is side C in this case and has a length of 5.
- The other two sides are called the legs. In this case, side A has a length of 3 and side B has a length of 4.
To find the missing angle, we can use the trigonometric ratio called "sine" (abbreviated as sin).
Using the formula: sin(angle) = opposite / hypotenuse, we can find the value of the missing angle.
In this case, the opposite side is side A (length 3) and the hypotenuse is side C (length 5).
So, sin(angle) = 3/5.
To find the actual angle, you will need to use the inverse sine function, also known as arcsin or sin^(-1).
So, angle = arcsin(3/5).
Calculating this using a calculator or a mathematical software, you should find that the angle is approximately 36.87 degrees.
Therefore, the missing angle of the right triangle is approximately 36.87 degrees.