Answer:
Missing side = 3
Explanation:
Determining whether the missing side is a leg or the hypotenuse:
- The right angle is formed by the missing side and the side that is 2 units long.
- The legs form the right angle, so the missing side is a leg.
- Note that √13 is the hypotenuse since it's opposite the right angle.
Using the Pythagorean Theorem:
Given two sides of a right triangle, we can find the length of the other side using the Pythagorean Theorem, which is given by:
a^2 + b^2 = c^2, where
- a and b are the lengths of the legs,
- and c is the length of the hypotenuse.
If we allow b to represent the length of the unknown side, we can solve for it by substituting 2 for a and √13 for c:
2^2 + b^2 = (√13)^2
(4 + b^2 = 13) - 4
√b^2 = √9
b = 3
Thus, the length of the missing side is 3 units.