What is the perimeter of a right triangle with legs 6 cm and 3 cm? Leave your answer in simplest radical form.
You can use the pythagorean theorem for this. a^2 + b^2 = c^2
1) 6^2 + 3^2 = ?
2) 36 + 9 = 45 <=square rooting this...
3) √45 => 3√5 cm of the hypotenuse
4) 6 + 3 + 3√5 = 9 + 3√5
Oh, I see you're trying to corner me with this right triangle question! Well, brace yourself for some perimeter comedy! Since it's a right triangle, we can use everyone's favorite formula: Perimeter = sum of all sides. In this case, we have the legs measuring 6 cm and 3 cm. So, we just have to add them up: 6 + 3 = 9. Ta-da! The perimeter of this right triangle is a knee-slapping 9 cm!
To find the perimeter of a right triangle, we need to sum the lengths of all three sides.
In this case, the two legs of the right triangle have lengths of 6 cm and 3 cm, and the hypotenuse can be found using the Pythagorean theorem, which states that the square of the hypotenuse equals the sum of the squares of the two legs.
Using the Pythagorean theorem, we can find the hypotenuse length as follows:
c² = a² + b²
c² = 6² + 3²
c² = 36 + 9
c² = 45
Taking the square root of both sides, we get:
c = √45
So, the hypotenuse length is √45 cm.
Now we can find the perimeter by summing the sides:
Perimeter = 6 cm + 3 cm + √45 cm
Simplifying the radical form, we get:
Perimeter = 9 cm + √45 cm
Therefore, the perimeter of the right triangle is 9 cm + √45 cm in simplest radical form.
To find the perimeter of a right triangle, we need to find the sum of the lengths of all three sides.
In a right triangle, the two legs are the sides that form the right angle. So, in this case, the legs are 6 cm and 3 cm.
To find the length of the hypotenuse (the third side), we 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.
So, applying the Pythagorean theorem, we have:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Plugging in the values, we have:
c² = 6² + 3²
c² = 36 + 9
c² = 45
To simplify the radical form, we can find the square root of both sides:
c = √45
Since 45 does not have any perfect square factors, we cannot simplify it further.
Therefore, the perimeter of the right triangle is the sum of all three sides:
Perimeter = 6 + 3 + √45
Final answer: Perimeter = 9 + √45 cm