Calculate the perimeter of a right triangle where the legs are 6 cm and 8 cm
To calculate the perimeter of a right triangle, we need to add the lengths of all three sides.
In this case, we have a right triangle with legs measuring 6 cm and 8 cm.
The hypotenuse (the side opposite the right angle) can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (c):
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = sqrt(100)
c = 10
Therefore, the length of the hypotenuse is 10 cm.
Now we can calculate the perimeter by adding the lengths of all three sides:
Perimeter = 6 + 8 + 10
Perimeter = 24 cm
So, the perimeter of this right triangle is 24 cm.
To calculate the perimeter of a right triangle, you need to find the sum of the lengths of all three sides. In this case, we know that the lengths of the legs of the right triangle are 6 cm and 8 cm.
The two legs of a right triangle are the sides that form the right angle. 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 two legs.
Let's calculate the length of the hypotenuse (c) using the Pythagorean theorem:
c^2 = a^2 + b^2
where a and b are the lengths of the legs.
Substituting in the values:
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
Now, we find the square root of both sides to get the length of the hypotenuse:
c = √100
c = 10
So, the length of the hypotenuse is 10 cm.
To calculate the perimeter, we add up the lengths of all three sides:
Perimeter = 6 + 8 + 10
Perimeter = 24 cm
Therefore, the perimeter of the right triangle with leg lengths 6 cm and 8 cm is 24 cm.
a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
10 = c
6 + 8 + 10 = ?