If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, the square of the hypotenuse (c^2) is equal to 10^2 + 24^2.
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides, we find:
c = √676
Thus, the length of the hypotenuse is √676 cm, which is 26 cm (rounded to the nearest whole number).
To find the length of the hypotenuse of a right triangle, you can use 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 two legs.
In this case, the legs of the right triangle have lengths of 10 cm and 24 cm. Let's use the Pythagorean theorem to find the length of the hypotenuse.
To calculate this:
Step 1: Square the length of the first leg: 10 cm * 10 cm = 100 cm²
Step 2: Square the length of the second leg: 24 cm * 24 cm = 576 cm²
Step 3: Add the two squares together: 100 cm² + 576 cm² = 676 cm²
Step 4: To get the length of the hypotenuse, take the square root of the sum: √676 cm² = 26 cm
Therefore, the length of the hypotenuse is 26 cm.
To find the length of the hypotenuse of 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 (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
In this case, the lengths of the legs are given as 10 cm and 24 cm. Let's substitute these values into the Pythagorean theorem formula:
c^2 = a^2 + b^2
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse, we need to take the square root of both sides:
c = square root of 676
c = 26 cm
Therefore, the hypotenuse of the right triangle with legs measuring 10 cm and 24 cm is 26 cm.