The hypotenuse of a right triangle is 29.0 centimeters. The length of one of its legs is 20.0 centimeters. What is the length of the other leg?
Well, let me do some "hypotenuse and seek" to find that out for you. In a right triangle, the Pythagorean theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. So, let's solve this puzzle together.
Using the Pythagorean theorem, we can set up the equation:
a^2 + b^2 = c^2
Given that the hypotenuse (c) is 29 cm and one leg (a) is 20 cm, we can substitute these values into the equation:
20^2 + b^2 = 29^2
Simplifying this equation will help us solve for b:
400 + b^2 = 841
Subtracting 400 from both sides:
b^2 = 441
Taking the square root of both sides:
b = sqrt(441)
So, the length of the other leg is square root of 441, which simplifies to 21 cm. Ta-da! The other leg of the right triangle is 21 centimeters.
To find the length of the other leg 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.
Let's call the length of the other leg x. According to the Pythagorean theorem, we have:
x^2 + 20^2 = 29^2
Simplifying this equation, we get:
x^2 + 400 = 841
Now, let's subtract 400 from both sides of the equation:
x^2 = 841 - 400
x^2 = 441
To solve for x, we can take the square root of both sides of the equation:
√(x^2) = √441
x = 21
Therefore, the length of the other leg is 21 centimeters.
To find the length of the other leg of a right triangle, 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.
Let's denote the length of the other leg as "x" centimeters. According to the Pythagorean theorem:
x^2 + 20^2 = 29^2
Simplifying the equation:
x^2 + 400 = 841
Subtracting 400 from both sides:
x^2 = 441
Taking the square root of both sides:
x = √441
x = 21
Therefore, the length of the other leg of the right triangle is 21 centimeters.
X^2 + Y^2 = (29)^2.
(20)^2 + Y^2 = 841.
Y^2 = 841 - 400 = 441.
Y = 21 cm.