ST=13 and SV=22. Find TV
unless the three points S,T,V lie on the line segment SV
In that case, ST+TV=SV so
13+TV=22
TV=9
or, using the right triangle theme, with SV the hypotenuse, then
13^2 + TV^2 = 22^2
TV = √315 ≈ 17.75
In order to find TV, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can draw a triangle with ST as one leg, SV as the other leg, and TV as the hypotenuse. Since we don't know the length of TV yet, let's call it x.
Using the Pythagorean Theorem, we can write:
x^2 = 13^2 + 22^2
Simplifying:
x^2 = 169 + 484
x^2 = 653
Now we can take the square root of both sides to find x:
x = √653
This is the exact answer. If we want a decimal approximation, we can use a calculator to find:
x ≈ 25.55
Therefore, TV ≈ 25.55.