The length of the third side of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Let's use this theorem to find the length of the third side:
Using the Pythagorean theorem:
8^2 + 17^2 = c^2
64 + 289 = c^2
353 = c^2
To find the length of the third side, we need to take the square root of both sides:
√353 = √c^2
√353 = c
The options given are:
5 units
9 units
15 units
21 units
After taking the square root of 353, the length of the third side is approximately 18.8 units. Therefore, none of the given options match the length of the third side of this triangle.
A right triangle has two sides equal to 8
units and 17
units. Which could be the length of the third side of this triangle?
Responses
5
units
5 units
9
units
9 units
15
units
15 units
21
units
1 answer