Question

The length of the hypotenuse h is a right angled triangle is given by the formula h=√9²+b² where a and b are the lengths of the other two sides of the triangle. make a the subject of the formula?

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Answer 1

Answer: The formula you provided is the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (h) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula can be written as:

h = √(a^2 + b^2)

To make a the subject of the formula, we can start by squaring both sides of the equation:

h^2 = a^2 + b^2

We can then subtract b^2 from both sides:

h^2 - b^2 = a^2

Now we can take the square root of both sides:

√(h^2 - b^2) = √a^2

a = √(h^2 - b^2)

So, a is the square root of the difference between the square of the hypotenuse and the square of the other side.

Explanation: