YZ = √ 5 and XZ = √ 2. Find XY. Answer in simplified radical form.
It's a right triangle, Y vertex is 90 degree.
plz help.
Still no joy here. If Y is the 90° angle, the the legs are YX and YZ, making XZ the hypotenuse.
The hypotenuse is the longest side, so it cannot be √2 if one leg is √5 !!!
So fix your problem before you post it again, please.
However, if one leg is √2 and the hypotenuse is √5, then the other leg is √3
If one leg is √2 and the other leg is √5, then the hypotenuse is √7
since a^2+b^2 = c^2
i think my question has typo. answer is √7. i was confused. thank you so much for helping me out.
To solve this problem, we need to 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 other two sides.
In this case, we know that YZ is equal to the square root of 5 (√5) and XZ is equal to the square root of 2 (√2). Let's label the length of XY as a.
So we have the following equation based on the Pythagorean theorem:
a^2 = YZ^2 + XZ^2
Substituting the given values, we have:
a^2 = (√5)^2 + (√2)^2
Simplifying:
a^2 = 5 + 2
a^2 = 7
Taking the square root of both sides:
a = √7
Therefore, the length of XY is √7, in simplified radical form.