If a right triangle has legs measuring 10cm and 24cm how long is the hypotenuse?
To find the length of the hypotenuse, 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 length of one leg is 10cm and the length of the other leg is 24cm. Let's label the length of the hypotenuse as "c".
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Substituting the values:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides:
c = √676
c = 26
Therefore, the length of the hypotenuse is 26cm.
To determine 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 hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the lengths of the legs of the right triangle as "a" and "b", and the length of the hypotenuse as "c". In this case, the legs are 10 cm and 24 cm, so a = 10 cm and b = 24 cm.
The Pythagorean theorem formula is: c^2 = a^2 + b^2.
Plugging in the values: c^2 = 10^2 + 24^2.
Calculating: c^2 = 100 + 576.
Simplifying: c^2 = 676.
Now, to find the length of the hypotenuse, we need to take the square root of both sides of the equation: c = √676.
Calculating: c = 26.
Therefore, the length of the hypotenuse of the right triangle 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 sum of the squares of the lengths of the two legs (a and b) is equal to the square of the length of the hypotenuse (c).
The formula for the Pythagorean theorem is:
c^2 = a^2 + b^2
Given that the lengths of the two legs, a = 10 cm and b = 24 cm, we can substitute these values into the formula:
c^2 = 10^2 + 24^2
Simplifying:
c^2 = 100 + 576
c^2 = 676
To solve for c, we take the square root of both sides:
c = √676
c = 26 cm
Therefore, the hypotenuse of the right triangle is 26 cm.