Leg a = 7, leg b = 24. What is the length?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
To find the length (hypotenuse) of the right-angled triangle when we know the lengths of the two legs (a and b), we can apply the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Mathematically, this can be expressed as:
c² = a² + b²
Given that leg a = 7 and leg b = 24, we can plug these values into the equation to find the length of the hypotenuse:
c² = 7² + 24² c² = 49 + 576 c² = 625
Now take the square root of both sides to solve for c:
c = √625 c = 25
So, the length of the hypotenuse (c) is 25 units.