Question

problem 5
tiam the turtle is traveling on one side of a triangle.
exactly how far does tiam need to travel?
(there is a right triangle with two legs labeled 1 unit each, and a turtle near the right angle, with the hypotenuse drawn.)

Explanation:

Step1: Identify triangle type

This is a right isosceles triangle with legs $a=1$ unit, $b=1$ unit. We need to find the hypotenuse $c$.

Step2: Apply Pythagorean theorem

The theorem states $c = \sqrt{a^2 + b^2}$.
Substitute $a=1$, $b=1$:
$$c = \sqrt{1^2 + 1^2} = \sqrt{1+1} = \sqrt{2}$$

Answer:

$\sqrt{2}$ units