If a right triangle has legs measuring 10 cm and 24 cm, how long is they hypotenuse?
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the length of one leg is 10 cm and the length of the other leg is 24 cm.
Applying the Pythagorean theorem:
Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 10^2 + 24^2
Hypotenuse^2 = 100 + 576
Hypotenuse^2 = 676
Taking the square root of both sides:
Hypotenuse = √676
Hypotenuse = 26 cm
Therefore, the length of the hypotenuse is 26 cm.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, 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).
In this case, the lengths of the two legs are given as 10 cm (a) and 24 cm (b).
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Substituting the given values into the equation:
c^2 = 10^2 + 24^2
Calculating the squares:
c^2 = 100 + 576
Adding the values:
c^2 = 676
Taking the square root of both sides:
c = √676
Simplifying the square root:
c = 26 cm
Therefore, the length of the hypotenuse of the right triangle is 26 cm.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So, in this case, we have a right triangle with legs measuring 10 cm and 24 cm. Let's call the length of the hypotenuse "c." We can use the formula:
c^2 = a^2 + b^2
Where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.
Plugging in the values:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the length of "c," we need to take the square root of 676:
c = √676
c = 26 cm
Therefore, the hypotenuse of the right triangle with legs measuring 10 cm and 24 cm is 26 cm.