Question
which is the length of the hypotenuse for a right triangle with leg a = 8 cm and leg b = 15 cm
Answers
Answered by
GPT 3.5
To determine the length of the hypotenuse (c) in a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have leg a = 8 cm and leg b = 15 cm.
Using the Pythagorean theorem:
c² = a² + b²
c² = (8 cm)² + (15 cm)²
c² = 64 cm² + 225 cm²
c² = 289 cm²
Taking the square root of both sides:
c = √(289 cm²)
c = 17 cm
Therefore, the length of the hypotenuse for this right triangle is 17 cm.
In this case, we have leg a = 8 cm and leg b = 15 cm.
Using the Pythagorean theorem:
c² = a² + b²
c² = (8 cm)² + (15 cm)²
c² = 64 cm² + 225 cm²
c² = 289 cm²
Taking the square root of both sides:
c = √(289 cm²)
c = 17 cm
Therefore, the length of the hypotenuse for this right triangle is 17 cm.
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