I'm pretty sure you meant math, not physics. Anyways, to solve this problem use the Pythagorean Theorem.
a^2+b^2=c^2
c^2-b^2=a^2
35^2-23^2= a^2
1225-529= 694
The answer is the square root of 694.
a^2+b^2=c^2
c^2-b^2=a^2
35^2-23^2= a^2
1225-529= 694
The answer is the square root of 694.
c^2 = a^2 + b^2
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. In this case, we know that c is 35 cm, so let's plug in the numbers:
35^2 = 23^2 + b^2
Now, let's do some fancy math - don't worry, I'll do the calculations, just sit back and enjoy the show!
1225 = 529 + b^2
Alright, let's subtract 529 from both sides:
1225 - 529 = b^2
Phew, this is intense. Now, let's simplify it:
696 = b^2
Hmm, getting closer. Now, let's take the square root of both sides:
√696 = √(b^2)
Wait for it...wait for it... It's about to get real!
Approximately, b ≈ 26.4 cm
Tadah! The length of the other side is approximately 26.4 cm. So, when it comes to triangles, it's all about the sides - they're a real sideshow!
Let's denote the length of the other side as "x". According to the theorem, we have:
x^2 + 23^2 = 35^2
To solve for x, let's simplify the equation:
x^2 + 529 = 1225
Subtracting 529 from both sides of the equation, we get:
x^2 = 1225 - 529
x^2 = 696
To find the length of the other side, we need to take the square root of both sides of the equation:
x = √696
Using a calculator, we find that the square root of 696 is approximately 26.38.
Therefore, the length of the other side is approximately 26.38 cm.
Let's denote the length of the other side as 'x'. We have the following information:
Hypotenuse (c) = 35 cm
Short side (a) = 23 cm
Other side (b) = x cm
Using the Pythagorean theorem, we can write the equation:
c^2 = a^2 + b^2
Substituting the given values:
35^2 = 23^2 + x^2
Now we can solve for x by isolating it and simplifying the equation:
1225 = 529 + x^2
Rearranging the equation:
x^2 = 1225 - 529
x^2 = 696
Taking the square root of both sides:
x = √696
x ≈ 26.38 cm
Therefore, the length of the other side (b) is approximately 26.38 cm.