The value of u is 2 in the given right-angled triangle.
The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as and v.
We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.
<h3>What is Pythagoras theorem?</h3>
It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a right-angled triangle ABC, if
BC = hypotenuse
AC and AB are the other two sides then,
.
For this problem, we can find the value of u by using trigonometric identities.
From the figure, we have an angle of 45°.
Consider Cos 45°.
Cos Ф = base / hypotenuse
Cos 45° = / u ...........(1)
From trigonometric identities of cosine.
We have,
Cos 45° = 1 / ............(2)
From (1) and (2)
We get,
1 / = / u
u = 2.
Thus the value of u is 2 in the given right-angled triangle.
Learn more about Pythagoras's theorem application here:
brainly.com/question/11687813
#SPJ1