a = 7
b = 24
c = ?
a2+b2=c2
To find the value of c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Given that a = 7 and b = 24, we can substitute these values into the equation.
a^2 + b^2 = c^2
7^2 + 24^2 = c^2
49 + 576 = c^2
625 = c^2
Taking the square root of both sides, c = √625.
Therefore, c = 25.
To find the value of c using the formula a^2 + b^2 = c^2, substitute the given values of a and b into the formula:
a = 7
b = 24
Plug in these values and solve for c:
7^2 + 24^2 = c^2
49 + 576 = c^2
625 = c^2
To isolate c, take the square root of both sides:
√625 = √c^2
25 = c
Therefore, the value of c is 25.
To find the value of c, 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 other two sides.
In this case, we have two sides, a and b, and we want to find the length of the hypotenuse, c. We are given the values of a and b as 7 and 24 respectively.
To find the value of c, we can substitute the given values into the Pythagorean theorem equation:
c² = a² + b²
Let's solve it step by step:
a² = 7² = 49
b² = 24² = 576
Now, substituting these values into the equation:
c² = 49 + 576
By adding these two values together:
c² = 625
To find the value of c, we take the square root of both sides of the equation:
c = √625
Simplifying the square root:
c = 25
Therefore, the value of c is 25.