a squared +b squared=c squared
a=90
c=150
What is b?
a^2 + b^2 = c^2
90^2 +b^2 = 150^2
b^2 = 150^2 - 90^2
b = (150^2 - 90^2)^1/2
a number raised to the 1/2 is the same as the sq. route of that number. Just easier to write with the keyboard.
b = 120
b=120
To find the value of b, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, we are given the values of a (90) and c (150), and we need to find the value of b.
The Pythagorean theorem equation is:
a^2 + b^2 = c^2
Plugging in the given values:
90^2 + b^2 = 150^2
Simplifying the equation:
8100 + b^2 = 22500
To solve for b, we need to isolate it on one side of the equation.
Subtracting 8100 from both sides:
b^2 = 22500 - 8100
b^2 = 14400
To find the value of b, we take the square root of both sides of the equation:
√(b^2) = √14400
b = ±120
Since b represents a length, we take the positive value.
Therefore, b = 120.