solve for r
There is a right triangle with the hypotenuse as r , the angle as 45 degrees and opposite side as 20.
I am having a hard time finding this out. I had tan 45 = 1.61 20(1.61) = 32.4 but this is wrong.
Error
find the lengths of two other sides if the hypotenuse of a 45 degree -45 degree -90 degree triangle is 7. rationalize the denominator
To solve for the length of the hypotenuse (r) in a right triangle with a 45-degree angle and an opposite side length of 20, you can use the trigonometric function, such as the sine or cosine function.
In this case, we can use the sine function because the opposite side and the hypotenuse are involved.
The equation for the sine of an angle is:
sin(angle) = opposite / hypotenuse
Plugging in the values given, we have:
sin(45) = 20 / r
To isolate r, we can cross-multiply and then divide by sin(45):
sin(45) * r = 20
r = 20 / sin(45)
The sine of 45 degrees is approximately 0.7071. Therefore, we have:
r = 20 / 0.7071
r ≈ 28.28
Therefore, the length of the hypotenuse (r) is approximately 28.28 units.