If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?(1 point)
cm
To find the length of the hypotenuse, we 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.
Using this theorem, we can calculate the length of the hypotenuse as follows:
Length of hypotenuse^2 = Length of leg 1^2 + Length of leg 2^2
Length of hypotenuse^2 = 10^2 + 24^2
Length of hypotenuse^2 = 100 + 576
Length of hypotenuse^2 = 676
Taking the square root of both sides, we find:
Length of hypotenuse = √676
Simplifying the square root, we get:
Length of hypotenuse = 26 cm
Therefore, the hypotenuse of the right triangle is 26 cm.
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem 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 lengths of the legs are 10 cm and 24 cm.
So, using the Pythagorean Theorem, we can calculate the length of the hypotenuse as follows:
Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 10 cm^2 + 24 cm^2
Hypotenuse^2 = 100 cm^2 + 576 cm^2
Hypotenuse^2 = 676 cm^2
To find the length of the hypotenuse, we take the square root of both sides:
Hypotenuse = √676 cm^2
Hypotenuse ≈ 26 cm
Therefore, the length of the hypotenuse is approximately 26 cm.
To find the length of the hypotenuse of a right triangle, you 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.
In this case, the two legs of the right triangle are given as 10 cm and 24 cm. Let's call the length of the hypotenuse "c". The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
where c is the hypotenuse and a and b are the lengths of the legs.
Plugging in the values we have:
c^2 = 10^2 + 24^2
Simplifying:
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides to solve for "c":
c = √676
Evaluating the square root:
c = 26
Therefore, the length of the hypotenuse is 26 cm.