To find the missing hypotenuse length in a right triangle, apply the Pythagorean theorem.
For sides of 9 blocks and 5 blocks, the hypotenuse is √(9² + 5²) = 10.3 blocks, rounded to one decimal place.
To find the length of the missing side in a triangle, we can use the Pythagorean theorem when it's a right triangle.
This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
For instance, if you have a triangle with sides measuring 9 blocks and 5 blocks, and you want to find the length of the hypotenuse, you would use the formula:
√(9 blocks)² + (5 blocks)² = √(81 + 25) = √106 = 10.3 blocks
You would round to one decimal place as requested and state that the hypotenuse length is 10.3 blocks.
It's important to use the correct number of significant figures. In this case, since '9 blocks' and '5 blocks' are counted as discrete quantities, they are treated as having an infinite number of significant figures.