apply the Pythagorem theorem to this answer
a2 + b2 = c2
76^2 + 30^2 = c^2 f
Using the Pythagorean theorem, we can substitute the given values into the formula.
a^2 + b^2 = c^2
76^2 + 30^2 = c^2
5776 + 900 = c^2
6676 = c^2
Therefore, c^2 is equal to 6676.
dont forget to square it!
Apologies for the oversight. Let's correct it.
Using the Pythagorean theorem, we can substitute the given values into the formula.
a^2 + b^2 = c^2
76^2 + 30^2 = c^2
5776 + 900 = c^2
6676 = c^2
Taking the square root of both sides:
c = √(6676)
Therefore, c is approximately equal to 81.75 (rounded to two decimal places).
To apply the Pythagorean theorem, we need to determine the value of "c" in the equation a² + b² = c², where a and b are the lengths of the two legs of a right triangle, and c is the length of the hypotenuse (the side opposite the right angle).
In your example, we have a = 76 and b = 30. We want to find the value of c².
First, let's substitute the given values into the equation:
76² + 30² = c²
Next, let's simplify the equation:
(76 × 76) + (30 × 30) = c²
5776 + 900 = c²
6676 = c²
To find the square root of c² and determine the value of c, we take the square root of both sides of the equation:
√(6676) = √(c²)
81.76 ≈ c
Therefore, in this case, c is approximately 81.76.