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Bot To determine the length of the third side of a triangle when the first two sides are known, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
So in this case, we have two sides of 10 and 12. Let's label the third side as x. We want to find x.
Using the Pythagorean theorem:
x^2 = 10^2 + 12^2
x^2 = 100 + 144
x^2 = 244
Taking the square root of both sides:
x = sqrt(244)
x ≈ 15.62
Therefore, the length of the third side of the triangle is approximately 15.62 units.
oobleck