a = 8
b = ?
c = 17
c2-a2=b2
To find the value of b, we can rearrange the equation c^2 - a^2 = b^2.
Given that c = 17 and a = 8, we can substitute these values into the equation:
17^2 - 8^2 = b^2
289 - 64 = b^2
225 = b^2
Taking the square root of both sides, we get:
b = ±15
Therefore, b can be either 15 or -15.
To find the value of b, we can use the formula:
c^2 - a^2 = b^2
Plugging in the given values, we have:
17^2 - 8^2 = b^2
Calculating the squares:
289 - 64 = b^2
Simplifying:
225 = b^2
To find b, we take the square root of both sides:
sqrt(225) = sqrt(b^2)
Simplifying further:
15 = b
Therefore, b is equal to 15.
To find the value of b, we can rearrange the equation c2 - a2 = b2, and solve for b.
Step 1: Substitute the given values into the equation.
c2 - a2 = b2
17^2 - 8^2 = b2
Step 2: Simplify the equation.
289 - 64 = b2
225 = b2
Step 3: Take the square root of both sides to solve for b.
√225 = √b2
15 = b
Therefore, the value of b is 15.