- Start at the "START HERE!" square. It shows a 45-45-90 triangle with both legs labeled 6. The hypotenuse is labeled x. In a 45-45-90 triangle, the hypotenuse is leg * √2. So, x = 6√2. Follow the arrow labeled "x = 6√2" to the next square.
- The next square shows a 45-45-90 triangle with the hypotenuse labeled 9√2 and both legs labeled x. In a 45-45-90 triangle, each leg is hypotenuse / √2. So, x = (9√2) / √2 = 9. Follow the arrow labeled "x = 9" to the next square.
- The next square shows a 45-45-90 triangle with one leg labeled 4 and the other leg labeled x. Since it's a 45-45-90 triangle, the legs are equal. So, x = 4. Follow the arrow labeled "x = 4" to the next square.
- The next square shows a 45-45-90 triangle with the hypotenuse labeled 2 and one leg labeled x. Each leg is hypotenuse / √2. So, x = 2 / √2 = √2 (after rationalizing: (2√2)/2 = √2). Follow the arrow labeled "x = √2" to the next square.
- The next square shows a 45-45-90 triangle with one leg labeled 6 and the hypotenuse labeled x. The hypotenuse is leg * √2. So, x = 6√2. Follow the arrow labeled "x = 6√2" to the next square.
- The next square shows a 45-45-90 triangle with one leg labeled 6 and the hypotenuse labeled x. The hypotenuse is leg * √2. So, x = 6√2. Follow the arrow labeled "x = 6√2" to the next square.
- The next square shows a 45-45-90 triangle with the hypotenuse labeled 6 and one leg labeled x. Each leg is hypotenuse / √2. So, x = 6 / √2 = 3√2 (after rationalizing: (6√2)/2 = 3√2). However, none of the arrows from this square are labeled "x = 3√2". Looking at the available arrows, there is one labeled "x = 3". This appears to be an error in the maze design, as the correct value for x is 3√2, not 3. Assuming the intended path follows the logical sequence, we would need to find a path that leads to "Finished!". But based on the provided options, if we must choose from the given arrows, the path might be broken here. However, re-examining the image, there is a square with a triangle having a leg of 6 and hypotenuse x, which gives x=6√2, and then another square with a triangle having a leg of 6 and hypotenuse x, again giving x=6√2, and then a square with a triangle having a leg of 6 and hypotenuse x, giving x=6√2. This seems redundant. Let's look at the bottom left square. It has a triangle with a leg of 4 and hypotenuse x, so x=4√2. Then there's a square with a triangle with hypotenuse 2 and leg x, so x=√2. Then a square with a triangle with leg 6 and hypotenuse x, so x=6√2. Then a square with a triangle with leg 6 and hypotenuse x, so x=6√2. Then a square with a triangle
Parent Tip: Review the logic above to help your child master the concept of special right triangles 45 45 90 worksheet answers.
