Final answer:
The length of the missing side of the triangle can be found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. The length of the missing side in this case is approximately 10.3 blocks, rounded to the nearest tenth.
Step-by-step explanation:
The length of the missing side of the triangle can be found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. The equation is given as a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.
In this case, the missing side is the hypotenuse (c). Let's say the lengths of the other two sides (legs) are given as a = 9 blocks and b = 5 blocks. Plugging these values into the equation, we get c = √(9² + 5²) = √(81 + 25) = √106. The length of the missing side is approximately 10.3 blocks.
Rounding to the nearest tenth, the answer is option a) 10.4 blocks.