33. Drew needs a pipe cleaner approximately 25.55cm long. It's the sum of his triangle's sides and hypotenuse.
33. Let's find the shortest pipe cleaner Drew can use to make his triangle.
The triangle's sides are 8.5 cm and 6.4 cm. To find the shortest pipe cleaner needed, we'll find the perimeter of the triangle, which is the sum of all its sides.
Steps to solve:
1. Add the sides of the triangle:
8.5 cm + 6.4 cm = 14.9 cm
2. Find the hypotenuse using the Pythagorean theorem:
a² + b² = c², where a and b are the sides, and c is the hypotenuse.
Substituting the values, we get:
8.5² + 6.4² = c²
72.25 + 40.96 = c^2
113.21 = c²
c ≈ √113.21 ≈ 10.65 cm
3. Add all sides to find the perimeter:
14.9 cm + 10.65 cm ≈ 25.55 cm
Therefore, the shortest pipe cleaner Drew can use to make his triangle is approximately 25.55 centimeters.