The length of the hypotenuse of a right triangle is 26 cm. The length of one leg is 24 cm. Find the length of the other leg.
2cm
10cm
35cm**
50cm
the answer is 50cm
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, we are given the length of the hypotenuse (c = 26 cm) and one leg (a = 24 cm). We need to find the length of the other leg (b).
Using the Pythagorean theorem, we can write the equation as:
c^2 = a^2 + b^2
(26 cm)^2 = (24 cm)^2 + b^2
676 cm^2 = 576 cm^2 + b^2
Subtracting (576 cm^2) from both sides of the equation, we get:
100 cm^2 = b^2
Taking the square root of both sides of the equation, we find:
√(100 cm^2) = √(b^2)
10 cm = b
Therefore, the length of the other leg of the right triangle is 10 cm.
To solve this problem, 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.
Let's denote the length of the other leg as x cm. According to the problem, the length of the hypotenuse is 26 cm, and the length of one leg is 24 cm.
Using the Pythagorean theorem, we can write the equation:
x^2 + 24^2 = 26^2
Simplifying the equation, we get:
x^2 + 576 = 676
Now we can solve for x by subtracting 576 from both sides of the equation:
x^2 = 676 - 576
x^2 = 100
To find the value of x, we take the square root of both sides:
x = √100
x = 10
Therefore, the length of the other leg is 10 cm.
how can a leg be longer than the hypotenuse?
You figured using 24,26 as legs.
Consider one of your basic Pythagorean triples: 5-12-13, and its multiples