Answer:
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (h) is equal to the sum of the squares of the other two sides (a and b). Mathematically, it is represented as:
\[ h^2 = a^2 + b^2 \]
In your case, if \( b = 4 \) and \( c = 3 \), you can substitute these values into the formula to find \( h \):
\[ h^2 = 3^2 + 4^2 \]
\[ h^2 = 9 + 16 \]
\[ h^2 = 25 \]
Therefore, \( h = 5 \).
Answer:
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (\(c\)) is equal to the sum of the squares of the lengths of the other two sides (\(a\) and \(b\)). The formula is:
\[c^2 = a^2 + b^2\]
In your case, if \(b = 4\) (base) and \(p = 3\) (one of the legs), you want to find the length of the other leg, which I'll call \(h\). So:
\[c^2 = p^2 + b^2\]
\[c^2 = 3^2 + 4^2\]
\[c^2 = 9 + 16\]
\[c^2 = 25\]
To find \(c\) (the hypotenuse), take the square root of both sides:
\[c = \sqrt{25}\]
\[c = 5\]
So, if \(p = 3\) and \(b = 4\), the length of the other leg (\(h\)) is 5 units.
