If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, the length of the hypotenuse can be calculated as follows:
hypotenuse^2 = leg1^2 + leg2^2
Substituting the given values:
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 of the right triangle is 26 cm.
To find the length of the hypotenuse in 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 legs.
In this case, the legs of the right triangle measure 10 cm and 24 cm. Let's denote the length of the hypotenuse as "c". The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
where "a" and "b" are the lengths of the legs. Now, substitute the given values into the equation:
c^2 = 10^2 + 24^2
Simplifying the equation:
c^2 = 100 + 576
c^2 = 676
Now, to find the length of the hypotenuse "c", take the square root of both sides of the equation:
c = sqrt(676)
Using a calculator:
c ≈ 26 cm
So, the length of the hypotenuse in this right triangle is approximately 26 cm.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. The Pythagorean 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, known as the legs.
In this case, the lengths of the legs are given as 10 cm and 24 cm. Let's label the legs as 'a' and 'b', where 'a' is 10 cm and 'b' is 24 cm. The hypotenuse will be labeled as 'c' and its length is what we need to find.
According to the Pythagorean theorem, the equation is as follows:
c^2 = a^2 + b^2
Plugging in the given values:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse 'c', we need to take the square root of both sides of the equation:
c = √676
Evaluating the square root:
c ≈ 26 cm
Therefore, the length of the hypotenuse in the given right triangle is approximately 26 cm.